Pith Number

pith:5S5PDVKO

pith:2004:5S5PDVKOZUGYLUJPSCXWYD26FE

not attested not anchored not stored refs pending

A few words on Entropy, Thermodynamics, and Horizons

Donald Marolf

arxiv:hep-th/0410168 v2 · 2004-10-14 · hep-th · gr-qc · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5S5PDVKOZUGYLUJPSCXWYD26FE}

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	2026-05-18T00:37:27.852176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecbaf1d54ecd0d85d12f90af6c0f5e2920a6b8c1d8b62c5a6659bc42ac26c03f

Aliases

arxiv: hep-th/0410168 · arxiv_version: hep-th/0410168v2 · doi: 10.48550/arxiv.hep-th/0410168 · pith_short_12: 5S5PDVKOZUGY · pith_short_16: 5S5PDVKOZUGYLUJP · pith_short_8: 5S5PDVKO

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/5S5PDVKOZUGYLUJPSCXWYD26FE \
  | 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: ecbaf1d54ecd0d85d12f90af6c0f5e2920a6b8c1d8b62c5a6659bc42ac26c03f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87bcfae8d448e93ce48d40e688aa11e71556d3d42d53d479ce29bebe9065b00c",
    "cross_cats_sorted": [
      "gr-qc",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-10-14T18:15:49Z",
    "title_canon_sha256": "3adcd28a85aa29298268825855a445d86f566f2330939cfd7ff8d96688e08411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0410168",
    "kind": "arxiv",
    "version": 2
  }
}