Pith Number

pith:7APHB6KN

pith:2021:7APHB6KNXC6I3K7DRLSEWIAENF

not attested not anchored not stored refs pending

Thermodynamics of spacetime and unimodular gravity

Ana Alonso-Serrano, Marek Li\v{s}ka

arxiv:2112.06301 v2 · 2021-12-12 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7APHB6KNXC6I3K7DRLSEWIAENF}

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	2026-07-05T04:15:12.456835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f81e70f94db8bc8dabe38ae44b2004696a8bd053261df82cec8ce5382287aae7

Aliases

arxiv: 2112.06301 · arxiv_version: 2112.06301v2 · doi: 10.48550/arxiv.2112.06301 · pith_short_12: 7APHB6KNXC6I · pith_short_16: 7APHB6KNXC6I3K7D · pith_short_8: 7APHB6KN

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/7APHB6KNXC6I3K7DRLSEWIAENF \
  | 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: f81e70f94db8bc8dabe38ae44b2004696a8bd053261df82cec8ce5382287aae7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95a43871f7a225ab8c0f8daa4b9b5fdf1d4d0a84fba07b69171a51da03e033c6",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-12-12T18:48:01Z",
    "title_canon_sha256": "71a7de5a94e254b866ad883757078109e96cfa7da7f185f5a1f2445d204c3218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.06301",
    "kind": "arxiv",
    "version": 2
  }
}