Pith Number

pith:P4NMQWAL

pith:2026:P4NMQWALZDLIPNNWMVHOOOJJIE

not attested not anchored not stored refs pending

CMBolic: Symbolic emulators for the Cosmic Microwave Background. I. Lensing

Constantinos Skordis, David M. J. Vokrouhlicky, Deaglan J. Bartlett, Harry Desmond, Pedro G. Ferreira

arxiv:2606.07745 v1 · 2026-06-05 · astro-ph.CO · astro-ph.IM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4NMQWALZDLIPNNWMVHOOOJJIE}

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	2026-06-09T01:04:50.920711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f1ac8580bc8d687b5b6654ee73929411c70b737a5f75597836b25d395c2b7fa

Aliases

arxiv: 2606.07745 · arxiv_version: 2606.07745v1 · doi: 10.48550/arxiv.2606.07745 · pith_short_12: P4NMQWALZDLI · pith_short_16: P4NMQWALZDLIPNNW · pith_short_8: P4NMQWAL

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/P4NMQWALZDLIPNNWMVHOOOJJIE \
  | 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: 7f1ac8580bc8d687b5b6654ee73929411c70b737a5f75597836b25d395c2b7fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e2fbe2f120fe0d84c826bff7ce0d77326f2d87c36f78b42271d8cf5aa851638",
    "cross_cats_sorted": [
      "astro-ph.IM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-05T18:00:12Z",
    "title_canon_sha256": "b37e5c5b6e00bc76282521dfc9fab2dd0bfdaec155d51a95ee0bb191967dded3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07745",
    "kind": "arxiv",
    "version": 1
  }
}