Pith Number

pith:4X5CIYJI

pith:1999:4X5CIYJI3NG36QXR2V4N5SDG6M

not attested not anchored not stored refs pending

Misner String Entropy

R.B. Mann

arxiv:hep-th/9903229 v2 · 1999-03-26 · hep-th · 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{4X5CIYJI3NG36QXR2V4N5SDG6M}

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.

Cited by

2 papers in Pith

Holographic renormalization and the variational problem for mixed boundary conditions via a solution-dependent superpotential-like function

Black hole chemistry: thermodynamics with Lambda

Receipt and verification

First computed	2026-07-04T16:14:47.828370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5fa246128db4dbf42f1d578dec866f33b97aceafbf41802795b9f8258ee6d54

Aliases

arxiv: hep-th/9903229 · arxiv_version: hep-th/9903229v2 · doi: 10.48550/arxiv.hep-th/9903229 · pith_short_12: 4X5CIYJI3NG3 · pith_short_16: 4X5CIYJI3NG36QXR · pith_short_8: 4X5CIYJI

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/4X5CIYJI3NG36QXR2V4N5SDG6M \
  | 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: e5fa246128db4dbf42f1d578dec866f33b97aceafbf41802795b9f8258ee6d54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78da403abc2fb2b607f1e1df5ecee00904f823e636c866f8b27f3e8f13ede7db",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-03-26T01:38:21Z",
    "title_canon_sha256": "ec6cdb4beb8dbd24cf016c17d8540935ef19249c3e757f3ef4693f501c0516a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9903229",
    "kind": "arxiv",
    "version": 2
  }
}