Pith Number

pith:H6C2EO3M

pith:2012:H6C2EO3MJBJL7WZXCYSFZCRBSZ

not attested not anchored not stored refs pending

Relative information entropy and Weyl curvature of the inhomogeneous Universe

Akio Hosoya, Dominik J. Schwarz, Masaaki Morita, Nan Li, Thomas Buchert

arxiv:1208.3376 v2 · 2012-08-16 · 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{H6C2EO3MJBJL7WZXCYSFZCRBSZ}

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	2026-05-18T03:21:10.594411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f85a23b6c4852bfdb3716245c8a2196711ccf6109df69f5823946b463a1418d

Aliases

arxiv: 1208.3376 · arxiv_version: 1208.3376v2 · doi: 10.48550/arxiv.1208.3376 · pith_short_12: H6C2EO3MJBJL · pith_short_16: H6C2EO3MJBJL7WZX · pith_short_8: H6C2EO3M

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/H6C2EO3MJBJL7WZXCYSFZCRBSZ \
  | 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: 3f85a23b6c4852bfdb3716245c8a2196711ccf6109df69f5823946b463a1418d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c77f7683113e92701cc65317d68c8ef361923f657fbcae99ac0f6c31651e2cf3",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-08-16T14:08:46Z",
    "title_canon_sha256": "c86434c7508b5739b6903b90385037a27f527f04873430dfe17e5d22db64b0ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3376",
    "kind": "arxiv",
    "version": 2
  }
}