Pith Number

pith:3CKKYC3I

pith:2012:3CKKYC3IPQAPUOBZM5XRHU7OZD

not attested not anchored not stored refs pending

The higher spin generalization of the 6-vertex model with domain wall boundary conditions and Macdonald polynomials

Ferenc Balogh, Tiago Fonseca

arxiv:1210.4527 v2 · 2012-10-16 · math.CO · math-ph · 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{3CKKYC3IPQAPUOBZM5XRHU7OZD}

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	2026-05-18T02:58:43.469280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d894ac0b687c00fa3839676f13d3eec8d7ac0583012ea19f76c7c8dcba01efbf

Aliases

arxiv: 1210.4527 · arxiv_version: 1210.4527v2 · doi: 10.48550/arxiv.1210.4527 · pith_short_12: 3CKKYC3IPQAP · pith_short_16: 3CKKYC3IPQAPUOBZ · pith_short_8: 3CKKYC3I

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/3CKKYC3IPQAPUOBZM5XRHU7OZD \
  | 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: d894ac0b687c00fa3839676f13d3eec8d7ac0583012ea19f76c7c8dcba01efbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "686b085d50d8123363821c40704bda7bfe14255911232acabe95364fe5405dc4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-16T18:53:47Z",
    "title_canon_sha256": "395c4807eb4a67bfceef9483006e6b4e5a4e518baa063390f03b85a32c2c34d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4527",
    "kind": "arxiv",
    "version": 2
  }
}