Pith Number

pith:3YOYKJNR

pith:2016:3YOYKJNRX7HFX5J2PYW7IBBX6V

not attested not anchored not stored refs pending

Volume Entropy

Carlo Rovelli, Marios Christodoulou, Valerio Astuti

arxiv:1603.01561 v3 · 2016-03-04 · 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{3YOYKJNRX7HFX5J2PYW7IBBX6V}

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	2026-05-18T00:08:05.416650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de1d8525b1bfce5bf53a7e2df40437f5562dfae62e54611e65be5177431fd72e

Aliases

arxiv: 1603.01561 · arxiv_version: 1603.01561v3 · doi: 10.48550/arxiv.1603.01561 · pith_short_12: 3YOYKJNRX7HF · pith_short_16: 3YOYKJNRX7HFX5J2 · pith_short_8: 3YOYKJNR

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/3YOYKJNRX7HFX5J2PYW7IBBX6V \
  | 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: de1d8525b1bfce5bf53a7e2df40437f5562dfae62e54611e65be5177431fd72e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf3450ee1b5062cb3249465dbdea289bcd4d11e494439794d5fb860e53705b3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-03-04T18:24:34Z",
    "title_canon_sha256": "b45b4efd3a899b9ed6966fdf7f2bf7bea6ada9a171b05443f9c54d1b61f59d1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01561",
    "kind": "arxiv",
    "version": 3
  }
}