Pith Number

pith:S6GGARWB

pith:2012:S6GGARWBLPSHA2WPFN6XVINRVA

not attested not anchored not stored refs pending

Entropy Production in Collisionless Systems. II. Arbitrary Phase-Space Occupation Numbers

(2) Univ. of Minnesota), Eric I. Barnes (1), Liliya L.R. Williams (2) ((1) Univ. of Wisconsin - La Crosse

arxiv:1201.5899 v1 · 2012-01-27 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S6GGARWBLPSHA2WPFN6XVINRVA}

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	2026-05-18T01:58:38.814011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

978c6046c15be4706acf2b7d7aa1b1a80324e3146950555af11813fa06b7a51d

Aliases

arxiv: 1201.5899 · arxiv_version: 1201.5899v1 · doi: 10.48550/arxiv.1201.5899 · pith_short_12: S6GGARWBLPSH · pith_short_16: S6GGARWBLPSHA2WP · pith_short_8: S6GGARWB

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/S6GGARWBLPSHA2WPFN6XVINRVA \
  | 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: 978c6046c15be4706acf2b7d7aa1b1a80324e3146950555af11813fa06b7a51d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "274cc6e77d6379a5f632b9bbf4cc0cacb63f6548d06701e2a11ed1787e216fd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-01-27T21:22:49Z",
    "title_canon_sha256": "8388abf77f5173ca0bbf1b4968762c177b2053916c4fe9fef1fd65b4b6b163b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5899",
    "kind": "arxiv",
    "version": 1
  }
}