Pith Number

pith:4CXVZ2ZY

pith:2016:4CXVZ2ZYWA752LZW6KKLGIWIHB

not attested not anchored not stored refs pending

Black hole thermodynamics in finite time

Christine Gruber

arxiv:1601.00353 v1 · 2016-01-03 · gr-qc · astro-ph.HE · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CXVZ2ZYWA752LZW6KKLGIWIHB}

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	2026-05-18T01:23:27.680922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0af5ceb38b03fdd2f36f294b322c8385fbd298b0e0378ce3f59736aa621b79a

Aliases

arxiv: 1601.00353 · arxiv_version: 1601.00353v1 · doi: 10.48550/arxiv.1601.00353 · pith_short_12: 4CXVZ2ZYWA75 · pith_short_16: 4CXVZ2ZYWA752LZW · pith_short_8: 4CXVZ2ZY

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/4CXVZ2ZYWA752LZW6KKLGIWIHB \
  | 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: e0af5ceb38b03fdd2f36f294b322c8385fbd298b0e0378ce3f59736aa621b79a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d9d2cc423b1b3c98d45b1a5cec6b456ef624e17291bc1f24ad07d50ea37ee1b",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-01-03T23:15:24Z",
    "title_canon_sha256": "3cccf1591b69d4fab03636364de1fef09829f057a5fbf94238e9f31e966fbcff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00353",
    "kind": "arxiv",
    "version": 1
  }
}