Pith Number

pith:GKTDFYTT

pith:2012:GKTDFYTTMCOMNKVXAB2OVXIKJZ

not attested not anchored not stored refs pending

On the Spectra of Simplicial Rook Graphs

Jennifer D. Wagner, Jeremy L. Martin

arxiv:1209.3493 v2 · 2012-09-16 · math.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{GKTDFYTTMCOMNKVXAB2OVXIKJZ}

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	2026-05-18T02:52:42.288702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a632e273609cc6aab70074eadd0a4e646408d7f5d778055b4fc010a0497bc7

Aliases

arxiv: 1209.3493 · arxiv_version: 1209.3493v2 · doi: 10.48550/arxiv.1209.3493 · pith_short_12: GKTDFYTTMCOM · pith_short_16: GKTDFYTTMCOMNKVX · pith_short_8: GKTDFYTT

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/GKTDFYTTMCOMNKVXAB2OVXIKJZ \
  | 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: 32a632e273609cc6aab70074eadd0a4e646408d7f5d778055b4fc010a0497bc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad4c9a8c3934b1a56a5ca8d4b5ed374429c3c9ba6383fec05034ea8d62a9b1dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-16T15:23:28Z",
    "title_canon_sha256": "ba818cb7e26226b0db73f0b513704c0daf4097a05360a3058509ee124d9cfd54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3493",
    "kind": "arxiv",
    "version": 2
  }
}