Pith Number

pith:5R3ETWSE

pith:2018:5R3ETWSESRJBK2V6J7RK6YXXAN

not attested not anchored not stored refs pending

Uniqueness for the 3-State Antiferromagnetic Potts Model on the Tree

Andreas Galanis, Kuan Yang, Leslie Ann Goldberg

arxiv:1804.03514 v3 · 2018-04-10 · cs.DM · cond-mat.stat-mech · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5R3ETWSESRJBK2V6J7RK6YXXAN}

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	2026-05-18T00:08:31.065926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec7649da449452156abe4fe2af62f7034d056c7c3b64516b5d9ad8a5791c8641

Aliases

arxiv: 1804.03514 · arxiv_version: 1804.03514v3 · doi: 10.48550/arxiv.1804.03514 · pith_short_12: 5R3ETWSESRJB · pith_short_16: 5R3ETWSESRJBK2V6 · pith_short_8: 5R3ETWSE

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/5R3ETWSESRJBK2V6J7RK6YXXAN \
  | 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: ec7649da449452156abe4fe2af62f7034d056c7c3b64516b5d9ad8a5791c8641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e482ddc3c4daf8d13a9433166acbb07633ad93f149ecda8be9d0038bee939dd3",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-04-10T13:30:43Z",
    "title_canon_sha256": "77182095779d0f8548dce50ddd33a447bc6fccbff7aee680a955fb192c9fe5ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03514",
    "kind": "arxiv",
    "version": 3
  }
}