Pith Number

pith:FBAKBK7D

pith:2017:FBAKBK7DIIM77DZ63HMDRKV7VY

not attested not anchored not stored refs pending

Spiral determinants

Christian Krattenthaler (Universit\"at Wien), Gaurav Bhatnagar

arxiv:1704.02859 v2 · 2017-04-10 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBAKBK7DIIM77DZ63HMDRKV7VY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:43:08.400090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2840a0abe34219ff8f3ed9d838aabfae3c2044aac327bcbd8297074424a893f3

Aliases

arxiv: 1704.02859 · arxiv_version: 1704.02859v2 · doi: 10.48550/arxiv.1704.02859 · pith_short_12: FBAKBK7DIIM7 · pith_short_16: FBAKBK7DIIM77DZ6 · pith_short_8: FBAKBK7D

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/FBAKBK7DIIM77DZ63HMDRKV7VY \
  | 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: 2840a0abe34219ff8f3ed9d838aabfae3c2044aac327bcbd8297074424a893f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4647dd28f280ce129200f57c28e858a5ae7a44c453623a6b6ddf4ae8dc2652e5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-10T13:59:45Z",
    "title_canon_sha256": "22fb7338528f1dec94b3631138ed8461e5d738700a6cb3525f57ac2509d48707"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02859",
    "kind": "arxiv",
    "version": 2
  }
}