Pith Number

pith:5GVXAOOS

pith:2013:5GVXAOOS4Z6QSV744U5NJAUNCJ

not attested not anchored not stored refs pending

Double-dimers, the Ising model and the hexahedron recurrence

Richard Kenyon, Robin Pemantle

arxiv:1308.2998 v1 · 2013-08-14 · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GVXAOOS4Z6QSV744U5NJAUNCJ}

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	2026-05-18T03:15:56.974009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9ab7039d2e67d0957fce53ad4828d127a1862e1bc868b63be32a62ea798656d

Aliases

arxiv: 1308.2998 · arxiv_version: 1308.2998v1 · doi: 10.48550/arxiv.1308.2998 · pith_short_12: 5GVXAOOS4Z6Q · pith_short_16: 5GVXAOOS4Z6QSV74 · pith_short_8: 5GVXAOOS

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/5GVXAOOS4Z6QSV744U5NJAUNCJ \
  | 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: e9ab7039d2e67d0957fce53ad4828d127a1862e1bc868b63be32a62ea798656d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c003776f14b9e12383c2da65ff429a8877f3295260e9fb0f89290f2b942f89d6",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-08-14T00:19:21Z",
    "title_canon_sha256": "ac286b111a95eb5202106485f3e9e5fa6a4e0717fb9b049b225cc397d5717400"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2998",
    "kind": "arxiv",
    "version": 1
  }
}