Pith Number

pith:7O2AMLHJ

pith:2026:7O2AMLHJFC46WO4ERPTDHIPVZ2

not attested not anchored not stored refs pending

Divisible Arm Lengths, Crystal Reflections, and Enumeration of Newly Found Decomposition Columns

David J. Hemmer, Pavel Turek

arxiv:2606.28305 v1 · 2026-06-26 · 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{7O2AMLHJFC46WO4ERPTDHIPVZ2}

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	2026-06-29T01:15:12.690536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbb4062ce928b9eb3b848be633a1f5ce97e5b3096b694233b33b21ffac9bf52d

Aliases

arxiv: 2606.28305 · arxiv_version: 2606.28305v1 · doi: 10.48550/arxiv.2606.28305 · pith_short_12: 7O2AMLHJFC46 · pith_short_16: 7O2AMLHJFC46WO4E · pith_short_8: 7O2AMLHJ

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/7O2AMLHJFC46WO4ERPTDHIPVZ2 \
  | 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: fbb4062ce928b9eb3b848be633a1f5ce97e5b3096b694233b33b21ffac9bf52d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c786aeaf938a2790104f199300a4c279cb8b0f9fd408949c434ee9d50f8ff5e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-26T17:49:30Z",
    "title_canon_sha256": "2734f71180378be16a9a2bda3b5964c3a2bf2bdb4282a29e3c70330893c113c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28305",
    "kind": "arxiv",
    "version": 1
  }
}