Pith Number

pith:BJTTATZF

pith:2015:BJTTATZFFLSC73UYQ6P3DXIJUW

not attested not anchored not stored refs pending

Refined node polynomials via long edge graphs

Benjamin Kikwai, Lothar G\"ottsche

arxiv:1511.02726 v1 · 2015-11-09 · 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{BJTTATZFFLSC73UYQ6P3DXIJUW}

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	2026-05-18T01:27:29.511597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a67304f252ae42fee98879fb1dd09a5ba6ca4a4550b8527a9916e815a8b01e9

Aliases

arxiv: 1511.02726 · arxiv_version: 1511.02726v1 · doi: 10.48550/arxiv.1511.02726 · pith_short_12: BJTTATZFFLSC · pith_short_16: BJTTATZFFLSC73UY · pith_short_8: BJTTATZF

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/BJTTATZFFLSC73UYQ6P3DXIJUW \
  | 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: 0a67304f252ae42fee98879fb1dd09a5ba6ca4a4550b8527a9916e815a8b01e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "221d7247562b9d65766191a422441ebef4354c007e9fb8687d6199f07205bfc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-09T15:57:55Z",
    "title_canon_sha256": "515e130ab3d248322f5ce8bde2ca94da2364b87409b0653bcecbf6e8330c92d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02726",
    "kind": "arxiv",
    "version": 1
  }
}