Pith Number

pith:WULRWPWU

pith:2012:WULRWPWUYLQ4FTZQTLIHLDF3HU

not attested not anchored not stored refs pending

Violent and mild relaxation of an isolated self-gravitating uniform and spherical cloud of particles

Francesco Sylos Labini

arxiv:1203.3027 v2 · 2012-03-14 · astro-ph.CO · astro-ph.GA · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WULRWPWUYLQ4FTZQTLIHLDF3HU}

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	2026-05-18T03:53:54.234545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5171b3ed4c2e1c2cf309ad0758cbb3d2e367eca95917da0d088ae1db82234bb

Aliases

arxiv: 1203.3027 · arxiv_version: 1203.3027v2 · doi: 10.48550/arxiv.1203.3027 · pith_short_12: WULRWPWUYLQ4 · pith_short_16: WULRWPWUYLQ4FTZQ · pith_short_8: WULRWPWU

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/WULRWPWUYLQ4FTZQTLIHLDF3HU \
  | 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: b5171b3ed4c2e1c2cf309ad0758cbb3d2e367eca95917da0d088ae1db82234bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f97c17a8305dc237494b8411d31bdce9e0aa18783d1c3cb43e0feacafae11e9",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-03-14T09:15:11Z",
    "title_canon_sha256": "8b457dfd09fcbba244bba1569e933139913d473cb1ee62875611bd8f7a4c1e1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3027",
    "kind": "arxiv",
    "version": 2
  }
}