Pith Number

pith:Q2SJDHPB

pith:2017:Q2SJDHPBVCSSRWP2U2IP7CEXER

not attested not anchored not stored refs pending

The Graph of Critical Pairs of a Crown

Bethany Kubik, Fidel Barrera-Cruz, Heather C. Smith, Libby Taylor, Pamela Harris, Rebecca Garcia, Shannon Talbott, William T. Trotter

arxiv:1708.06675 v1 · 2017-08-22 · 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{Q2SJDHPBVCSSRWP2U2IP7CEXER}

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	2026-05-18T00:37:32.932243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86a4919de1a8a528d9faa690ff8897246c6564462feea42dabae65c24f1cfb98

Aliases

arxiv: 1708.06675 · arxiv_version: 1708.06675v1 · doi: 10.48550/arxiv.1708.06675 · pith_short_12: Q2SJDHPBVCSS · pith_short_16: Q2SJDHPBVCSSRWP2 · pith_short_8: Q2SJDHPB

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/Q2SJDHPBVCSSRWP2U2IP7CEXER \
  | 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: 86a4919de1a8a528d9faa690ff8897246c6564462feea42dabae65c24f1cfb98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9daa48a8afaed0668ff91c2939fd84b3a022def37bc3088a18bfc5c7582b3408",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-22T15:28:24Z",
    "title_canon_sha256": "9dd2d80481ba63b341adaf8083e2d811e503a10cc3de6be018bf1038ad41d93d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06675",
    "kind": "arxiv",
    "version": 1
  }
}