Pith Number

pith:QUITCGDB

pith:2010:QUITCGDBK5RHNN2KZBKYDHCA3I

not attested not anchored not stored refs pending

Thermal time and the Tolman-Ehrenfest effect: temperature as the "speed of time"

Carlo Rovelli, Matteo Smerlak

arxiv:1005.2985 v5 · 2010-05-17 · gr-qc · physics.class-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{QUITCGDBK5RHNN2KZBKYDHCA3I}

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	2026-05-18T04:26:56.587786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8511311861576276b74ac855819c40da360b6330fd5605d419eed9702e9d916b

Aliases

arxiv: 1005.2985 · arxiv_version: 1005.2985v5 · doi: 10.48550/arxiv.1005.2985 · pith_short_12: QUITCGDBK5RH · pith_short_16: QUITCGDBK5RHNN2K · pith_short_8: QUITCGDB

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/QUITCGDBK5RHNN2KZBKYDHCA3I \
  | 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: 8511311861576276b74ac855819c40da360b6330fd5605d419eed9702e9d916b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7322727982d2460ba52d0e22427d41e8b472f83707057deeb244bdd03fc2676",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-05-17T17:37:32Z",
    "title_canon_sha256": "2676ac5c8a7474abd1119fd2e02f6f5f1af314a90e48e094390078f5709c2a4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2985",
    "kind": "arxiv",
    "version": 5
  }
}