Pith Number

pith:IHUUXZRQ

pith:2025:IHUUXZRQAOWFT64ULJDVOVKBQR

not attested not anchored not stored refs pending

Cluster tori over $\mathbb{F}_2$, hexagonal moves on triangulations, and minimal coverings of cluster manifolds

Daniel P\'erez Melesio, Jos\'e Simental

arxiv:2509.04614 v2 · 2025-09-04 · 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{IHUUXZRQAOWFT64ULJDVOVKBQR}

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	2026-06-02T03:05:03.881598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41e94be63003ac59fb945a47575541844819c7e28be73b33cd19fd7493855331

Aliases

arxiv: 2509.04614 · arxiv_version: 2509.04614v2 · doi: 10.48550/arxiv.2509.04614 · pith_short_12: IHUUXZRQAOWF · pith_short_16: IHUUXZRQAOWFT64U · pith_short_8: IHUUXZRQ

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/IHUUXZRQAOWFT64ULJDVOVKBQR \
  | 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: 41e94be63003ac59fb945a47575541844819c7e28be73b33cd19fd7493855331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f4e998a556db8dc814877aaac2c6875969bc5038932c86d88e77263250bc1b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-04T18:57:57Z",
    "title_canon_sha256": "9340a4825abaef611ff19d672a9b6acc3b05837b714353d1c8ff0c0ed9c2e51b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04614",
    "kind": "arxiv",
    "version": 2
  }
}