Pith Number

pith:E6FDH5CM

pith:1994:E6FDH5CMHVAAYGIPEJXW53P4BC

not attested not anchored not stored refs pending

Free Energy and Entropy for Semi-classical Black Holes in the Canonical Ensemble

David Hochberg

arxiv:gr-qc/9410034 v1 · 1994-10-24 · 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{E6FDH5CMHVAAYGIPEJXW53P4BC}

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	2026-05-18T04:37:56.955825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

278a33f44c3d400c190f226f6eedfc08a148f263bf453e6ca60dbe649e34203d

Aliases

arxiv: gr-qc/9410034 · arxiv_version: gr-qc/9410034v1 · doi: 10.48550/arxiv.gr-qc/9410034 · pith_short_12: E6FDH5CMHVAA · pith_short_16: E6FDH5CMHVAAYGIP · pith_short_8: E6FDH5CM

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/E6FDH5CMHVAAYGIPEJXW53P4BC \
  | 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: 278a33f44c3d400c190f226f6eedfc08a148f263bf453e6ca60dbe649e34203d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0665402aee71ee7354b2764236475d2ba3d5a384967c445b6b1d50fb67864c8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1994-10-24T15:47:29Z",
    "title_canon_sha256": "58c98c149ae739771a4a88b31789b88ac0eb26dcb9456c05267be16a6bbc3348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9410034",
    "kind": "arxiv",
    "version": 1
  }
}