Pith Number

pith:LIJ7D2O2

pith:2012:LIJ7D2O2D3BZ6OQFSN2ULHZUKN

not attested not anchored not stored refs pending

The fitting problem in a lattice Universe

J. Larena

arxiv:1210.2161 v1 · 2012-10-08 · 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{LIJ7D2O2D3BZ6OQFSN2ULHZUKN}

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	2026-05-18T03:43:50.930264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a13f1e9da1ec39f3a059375459f3453506eb897b1ecb6b28204dafa0b64e204

Aliases

arxiv: 1210.2161 · arxiv_version: 1210.2161v1 · doi: 10.48550/arxiv.1210.2161 · pith_short_12: LIJ7D2O2D3BZ · pith_short_16: LIJ7D2O2D3BZ6OQF · pith_short_8: LIJ7D2O2

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/LIJ7D2O2D3BZ6OQFSN2ULHZUKN \
  | 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: 5a13f1e9da1ec39f3a059375459f3453506eb897b1ecb6b28204dafa0b64e204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41fd12652bc56021fbf5950ef8222dc400a45a2534cd19cad4c5768affec795d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-10-08T07:09:19Z",
    "title_canon_sha256": "1a216387161af56c6d3bde6e732597d15a9e35e63bdb03b5562fc2cf87e6d3c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2161",
    "kind": "arxiv",
    "version": 1
  }
}