Pith Number

pith:Y4WNRWJX

pith:2011:Y4WNRWJX67EL5W5UHKCJWICBBZ

not attested not anchored not stored refs pending

A general maximum entropy principle for self-gravitating perfect fluid

Sijie Gao

arxiv:1109.2804 v3 · 2011-09-13 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4WNRWJX67EL5W5UHKCJWICBBZ}

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	2026-05-18T02:00:33.595264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c72cd8d937f7c8bedbb43a849b20410e5c3e9d967e9ebbb355f5b0c26c278f48

Aliases

arxiv: 1109.2804 · arxiv_version: 1109.2804v3 · doi: 10.48550/arxiv.1109.2804 · pith_short_12: Y4WNRWJX67EL · pith_short_16: Y4WNRWJX67EL5W5U · pith_short_8: Y4WNRWJX

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/Y4WNRWJX67EL5W5UHKCJWICBBZ \
  | 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: c72cd8d937f7c8bedbb43a849b20410e5c3e9d967e9ebbb355f5b0c26c278f48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b0244214f69c7ba25398b24c9843e57862325932f4124fdc0b4c9ac74e68afe",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-13T14:42:50Z",
    "title_canon_sha256": "b5a723f52b1991e0a01c8a08d2a30c596024851c5791a5d1c44575279fe94adf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2804",
    "kind": "arxiv",
    "version": 3
  }
}