Pith Number

pith:4TRQIY6G

pith:2003:4TRQIY6GAVKMCFA3JPMJVEOILI

not attested not anchored not stored refs pending

Thermodynamics and area in Minkowski space: Heat capacity of entanglement

Amos Yarom, Ram Brustein

arxiv:hep-th/0311029 v1 · 2003-11-04 · 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{4TRQIY6GAVKMCFA3JPMJVEOILI}

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	2026-05-18T01:05:59.005337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4e30463c60554c1141b4bd89a91c85a27319d43eab71588af0da9c1cbed3aab

Aliases

arxiv: hep-th/0311029 · arxiv_version: hep-th/0311029v1 · doi: 10.48550/arxiv.hep-th/0311029 · pith_short_12: 4TRQIY6GAVKM · pith_short_16: 4TRQIY6GAVKMCFA3 · pith_short_8: 4TRQIY6G

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/4TRQIY6GAVKMCFA3JPMJVEOILI \
  | 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: e4e30463c60554c1141b4bd89a91c85a27319d43eab71588af0da9c1cbed3aab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7887d6a84540c8ed2ac7dee1745ebce3aa8cb37e07c1f5d3ed51b0afc44d1d00",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-11-04T21:30:16Z",
    "title_canon_sha256": "19370e2a5ad69cde1cb091f7934624669477b677983de1c99bacf255843988b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0311029",
    "kind": "arxiv",
    "version": 1
  }
}