Pith Number

pith:QBZVM5O2

pith:2012:QBZVM5O2SUECOLBY4OHVK7L75Q

not attested not anchored not stored refs pending

Dynamics of a lattice Universe

Jean-Philippe Bruneton, Julien Larena

arxiv:1204.3433 v2 · 2012-04-16 · 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{QBZVM5O2SUECOLBY4OHVK7L75Q}

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	2026-05-18T01:57:52.181385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80735675da9508272c38e38f557d7fec2e30bd720c6f8ce82e34fdb2bdc86be6

Aliases

arxiv: 1204.3433 · arxiv_version: 1204.3433v2 · doi: 10.48550/arxiv.1204.3433 · pith_short_12: QBZVM5O2SUEC · pith_short_16: QBZVM5O2SUECOLBY · pith_short_8: QBZVM5O2

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/QBZVM5O2SUECOLBY4OHVK7L75Q \
  | 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: 80735675da9508272c38e38f557d7fec2e30bd720c6f8ce82e34fdb2bdc86be6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "babf3ca163391ae8710e835fac9fa6e3795d62b9f8f21e6c2e34accc81159640",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-04-16T10:17:17Z",
    "title_canon_sha256": "0dbe3c42cbd3f8d3438837e44195e374dcd9a2cf6218a97825d06d8098f514f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3433",
    "kind": "arxiv",
    "version": 2
  }
}