Pith Number

pith:N4LLDHM6

pith:2026:N4LLDHM6DWYKLPVDUOXE3VYV7A

not attested not anchored not stored refs pending

There is no single density: star-forming regions and galaxies hold more dense ionized gas than long assumed

Aida Wofford, Alejandra Z. Lugo-Aranda, Alfredo J. Mej\'ia-Narv\'aez, Amrita Singh, C\'esar Esteban, Christophe Morisset, Donald P. Schneider, Evan D. Skillman, Evelyn J. Johnston, Evgeniya Egorova, Fu-Heng Liang, Gra\.zyna Stasi\'nska, Guillermo Blanc, H\'ector J. Ibarra-Medel, Igor A. Zinchenko, Irene Cruz-Gonz\'alez, Ivan Yu. Katkov, J. Eduardo M\'endez-Delgado, Joel R. Brownstein, Jorge Garc\'ia-Rojas, Juna A. Kollmeier, Kathryn Kreckel, Lesly C. Casta\~neda-Carlos, Natascha Sattler, Niv Drory, Oleg V. Egorov, Rodolfo de J. Zerme\~no, Rogelio Orozco-Duarte, Sebasti\'an F. S\'anchez, Simon C. O. Glover, Thomas Hilder, William J. Henney

arxiv:2607.07973 v1 · 2026-07-08 · astro-ph.GA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4LLDHM6DWYKLPVDUOXE3VYV7A}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-10T00:19:06.345236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f16b19d9e1db0a5bea3a3ae4dd715f83f1de289fdef13c9ef777897d2c5a41a

Aliases

arxiv: 2607.07973 · arxiv_version: 2607.07973v1 · doi: 10.48550/arxiv.2607.07973 · pith_short_12: N4LLDHM6DWYK · pith_short_16: N4LLDHM6DWYKLPVD · pith_short_8: N4LLDHM6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/N4LLDHM6DWYKLPVDUOXE3VYV7A \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6f16b19d9e1db0a5bea3a3ae4dd715f83f1de289fdef13c9ef777897d2c5a41a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cd01c3e2ebe088f033424965f7f369b1b06e0a0dc513ace518b07e92cf167ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-07-08T22:59:41Z",
    "title_canon_sha256": "7e5caa3589e6610e97fc81552a34cf60c2b2f8f90bfa82581df9b753324f5c09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07973",
    "kind": "arxiv",
    "version": 1
  }
}