Pith Number

pith:4U3QNTRU

pith:2010:4U3QNTRUJFSO2ESOK7H3JXVCHK

not attested not anchored not stored refs pending

Relative information entropy of an inhomogeneous universe

Akio Hosoya, Masaaki Morita, Nan Li, Thomas Buchert

arxiv:1011.5604 v1 · 2010-11-25 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4U3QNTRUJFSO2ESOK7H3JXVCHK}

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	2026-05-18T04:16:51.619009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e53706ce344964ed124e57cfb4dea23abc2d7c80185110a5c3139bd3ba5f4744

Aliases

arxiv: 1011.5604 · arxiv_version: 1011.5604v1 · doi: 10.48550/arxiv.1011.5604 · pith_short_12: 4U3QNTRUJFSO · pith_short_16: 4U3QNTRUJFSO2ESO · pith_short_8: 4U3QNTRU

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/4U3QNTRUJFSO2ESOK7H3JXVCHK \
  | 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: e53706ce344964ed124e57cfb4dea23abc2d7c80185110a5c3139bd3ba5f4744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c97201276e9affd4ee1662431282bdd2dccf7f145f82e9ac516966cfd34c3c4",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-11-25T12:03:02Z",
    "title_canon_sha256": "e524651fe9d0c3e78c239cc290f0c910750805d9cd38d1c50edb061c9e9f656f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5604",
    "kind": "arxiv",
    "version": 1
  }
}