Pith Number

pith:FGFYBUFU

pith:2012:FGFYBUFUBNYJOSNLEQOZO57EMS

not attested not anchored not stored refs pending

Standard 2D Crystalline Patterns and Rational Points in Complex Quadrics

Toshikazu Sunada

arxiv:1212.5755 v2 · 2012-12-23 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FGFYBUFUBNYJOSNLEQOZO57EMS}

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	2026-05-18T03:37:07.688187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

298b80d0b40b709749ab241d9777e464bf71d7b67dd1a37d546cb56000959043

Aliases

arxiv: 1212.5755 · arxiv_version: 1212.5755v2 · doi: 10.48550/arxiv.1212.5755 · pith_short_12: FGFYBUFUBNYJ · pith_short_16: FGFYBUFUBNYJOSNL · pith_short_8: FGFYBUFU

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/FGFYBUFUBNYJOSNLEQOZO57EMS \
  | 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: 298b80d0b40b709749ab241d9777e464bf71d7b67dd1a37d546cb56000959043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d6118154efd39a7669b3f7ca676f8d55cc25fc67b2ad93c68c9374c6e23bcfb",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-23T02:37:29Z",
    "title_canon_sha256": "baf3dafd441fe47771adfc225557f7a8f63eda4bd09f6d0f7483867b456865e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5755",
    "kind": "arxiv",
    "version": 2
  }
}