Pith Number

pith:UZLDGTXP

pith:2013:UZLDGTXP4HHIWNMPE5GS4CUCCY

not attested not anchored not stored refs pending

General proof of the entropy principle for self-gravitating fluid in static spacetimes

Sijie Gao, Xiongjun Fang

arxiv:1311.6899 v3 · 2013-11-27 · 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{UZLDGTXP4HHIWNMPE5GS4CUCCY}

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	2026-05-18T01:46:05.796047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a656334eefe1ce8b358f274d2e0a82160712a7e6647129f34b6b91fbb23fada9

Aliases

arxiv: 1311.6899 · arxiv_version: 1311.6899v3 · doi: 10.48550/arxiv.1311.6899 · pith_short_12: UZLDGTXP4HHI · pith_short_16: UZLDGTXP4HHIWNMP · pith_short_8: UZLDGTXP

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/UZLDGTXP4HHIWNMPE5GS4CUCCY \
  | 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: a656334eefe1ce8b358f274d2e0a82160712a7e6647129f34b6b91fbb23fada9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5530dc3814c8af8a5058d8573e0b3406ccccb7150b1823e0e2f4b377bef8f2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-11-27T08:47:30Z",
    "title_canon_sha256": "939ef5f3057da78bbfc9b709a93ef88eb800743651ca2f3cce83811b32c959e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6899",
    "kind": "arxiv",
    "version": 3
  }
}