Pith Number

pith:7GRJUQLO

pith:2022:7GRJUQLOL7IIM4WLSYGPACTLHB

not attested not anchored not stored refs pending

Solving the n-color ice model

Andrew Hardt, Autumn Young, Ben Brubaker, Cianan Conefrey-Shinozaki, Cindy Li, David Donze, Ethan Bockenhauer, Jessamyn Dukes, Jigang Li, Jordan Simons, Joseph Sullivan, Michael Cauthorn, Neelima Puthanveetil, Patrick Addona, William Dudarov, Yanli Liu, Zain Qudsi

arxiv:2212.06404 v3 · 2022-12-13 · math-ph · math.CO · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GRJUQLOL7IIM4WLSYGPACTLHB}

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.

Cited by

1 paper in Pith

Kirillov's conjecture on Hecke-Grothendieck polynomials

Receipt and verification

First computed	2026-07-05T11:45:51.567253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9a29a416e5fd08672cb960cf00a6b38423e541d4d788a63404c1341d31256c6

Aliases

arxiv: 2212.06404 · arxiv_version: 2212.06404v3 · doi: 10.48550/arxiv.2212.06404 · pith_short_12: 7GRJUQLOL7II · pith_short_16: 7GRJUQLOL7IIM4WL · pith_short_8: 7GRJUQLO

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/7GRJUQLOL7IIM4WLSYGPACTLHB \
  | 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: f9a29a416e5fd08672cb960cf00a6b38423e541d4d788a63404c1341d31256c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b213a9a583fbc289d3ef4fc3be8bbeb63ab1fc827bdbca69f4dfee1f1b17d77",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-12-13T07:03:56Z",
    "title_canon_sha256": "7dd8616ec90481de53cfcdf327e3253654f07e67aed5c9c6f4a21f30b771452e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.06404",
    "kind": "arxiv",
    "version": 3
  }
}