Pith Number

pith:CGZVYMTG

pith:2013:CGZVYMTGJXJWPFIXPB3YY236GI

not attested not anchored not stored refs pending

Periodic lattice with defects

Anton A. Kutsenko

arxiv:1305.1228 v1 · 2013-05-06 · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGZVYMTGJXJWPFIXPB3YY236GI}

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	2026-05-18T03:26:23.757105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b35c32664dd367951778778c6b7e323b5e5ba1dee99439f3b1e0df257af1b6

Aliases

arxiv: 1305.1228 · arxiv_version: 1305.1228v1 · doi: 10.48550/arxiv.1305.1228 · pith_short_12: CGZVYMTGJXJW · pith_short_16: CGZVYMTGJXJWPFIX · pith_short_8: CGZVYMTG

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/CGZVYMTGJXJWPFIXPB3YY236GI \
  | 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: 11b35c32664dd367951778778c6b7e323b5e5ba1dee99439f3b1e0df257af1b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebb3b7bb1f9ea8e03b5028a35ff6db066d93167ce44d9fb41c6090b15b521d39",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-05-06T15:52:46Z",
    "title_canon_sha256": "2e1b367b585c783decf2fa948e5fb269d637ecbf9f14f5285ad6c5e28026ac0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1228",
    "kind": "arxiv",
    "version": 1
  }
}