Pith Number

pith:SOFGU3TQ

pith:2011:SOFGU3TQOEIQYE3YHDH2P4CUTW

not attested not anchored not stored refs pending

Note on the chemical potential of decoupled matter in the Universe

Claudia Pombo, Theo M. Nieuwenhuizen

arxiv:1109.0487 v1 · 2011-08-30 · astro-ph.CO · cond-mat.stat-mech · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SOFGU3TQOEIQYE3YHDH2P4CUTW}

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	2026-05-18T04:13:38.694824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

938a6a6e7071110c137838cfa7f0549d99afa5b3c6a0758d197db7d9a7e76869

Aliases

arxiv: 1109.0487 · arxiv_version: 1109.0487v1 · doi: 10.48550/arxiv.1109.0487 · pith_short_12: SOFGU3TQOEIQ · pith_short_16: SOFGU3TQOEIQYE3Y · pith_short_8: SOFGU3TQ

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/SOFGU3TQOEIQYE3YHDH2P4CUTW \
  | 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: 938a6a6e7071110c137838cfa7f0549d99afa5b3c6a0758d197db7d9a7e76869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57168d77b80f1b46345cb0cb15f23756786bf1f07432fce4369d7ef6e3dc7682",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-08-30T14:34:18Z",
    "title_canon_sha256": "c8e067a76563c2d593a865b13cd4215da41420632dc75932c8eb07a96f52d7c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0487",
    "kind": "arxiv",
    "version": 1
  }
}