Pith Number

pith:WSLT3F5D

pith:2019:WSLT3F5DK3KVGCR5OLMGONEMLR

not attested not anchored not stored refs pending

Thermodynamics and entropy of self-gravitating matter shells and black holes in $d$ dimensions

Gon\c{c}alo M. Quinta, Jos\'e P. S. Lemos, Rui Andr\'e

arxiv:1905.05239 v1 · 2019-05-13 · hep-th · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WSLT3F5DK3KVGCR5OLMGONEMLR}

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	2026-05-17T23:41:42.143460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4973d97a356d5530a3d72d867348c5c434adfaddf36e1293abcf6438a44366d

Aliases

arxiv: 1905.05239 · arxiv_version: 1905.05239v1 · doi: 10.48550/arxiv.1905.05239 · pith_short_12: WSLT3F5DK3KV · pith_short_16: WSLT3F5DK3KVGCR5 · pith_short_8: WSLT3F5D

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/WSLT3F5DK3KVGCR5OLMGONEMLR \
  | 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: b4973d97a356d5530a3d72d867348c5c434adfaddf36e1293abcf6438a44366d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b81bb4c177797c149a7e6eb7415b8e1dde919bd668f8cc3ae02792f4eadf10b5",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-05-13T18:49:14Z",
    "title_canon_sha256": "b181f8f367fcb24f8982ee90598a5da7c6a1271ec400751e93f2ab7a12ec6a9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05239",
    "kind": "arxiv",
    "version": 1
  }
}