Pith Number

pith:QEPSZX7V

pith:2015:QEPSZX7V7KRW4ZHMXBJQQOX2FB

not attested not anchored not stored refs pending

First law of thermodynamics for dynamical apparent horizons and the entropy of Friedmann universes

Stefano Viaggiu

arxiv:1506.08573 v2 · 2015-06-29 · hep-th · astro-ph.CO · 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{QEPSZX7V7KRW4ZHMXBJQQOX2FB}

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	2026-05-18T01:35:34.618764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

811f2cdff5faa36e64ecb853083afa286e5860cb0824a96f0f8083acfc0df4dd

Aliases

arxiv: 1506.08573 · arxiv_version: 1506.08573v2 · doi: 10.48550/arxiv.1506.08573 · pith_short_12: QEPSZX7V7KRW · pith_short_16: QEPSZX7V7KRW4ZHM · pith_short_8: QEPSZX7V

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/QEPSZX7V7KRW4ZHMXBJQQOX2FB \
  | 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: 811f2cdff5faa36e64ecb853083afa286e5860cb0824a96f0f8083acfc0df4dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "782b0493a12b16af74f026640f5699ddb73ad244e595e747a4e924fcf43757c1",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-06-29T10:26:26Z",
    "title_canon_sha256": "4781fabca8deb0dbc21242204f925f54e503ef9ea181bb873a4cffad562c2891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08573",
    "kind": "arxiv",
    "version": 2
  }
}