Pith Number

pith:GERSXFFO

pith:2026:GERSXFFOG6IZDVNED75KVTSKQM

not attested not anchored not stored refs pending

Short Second Proof of the Odd-Modulus Directed Torus Hamilton Decomposition Theorem

Sanghyun Park

arxiv:2606.21583 v1 · 2026-06-19 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GERSXFFOG6IZDVNED75KVTSKQM}

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	2026-06-23T01:13:15.352932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31232b94ae379191d5a41ffaaace4a8319238748353caf58e632408ac478e497

Aliases

arxiv: 2606.21583 · arxiv_version: 2606.21583v1 · doi: 10.48550/arxiv.2606.21583 · pith_short_12: GERSXFFOG6IZ · pith_short_16: GERSXFFOG6IZDVNE · pith_short_8: GERSXFFO

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/GERSXFFOG6IZDVNED75KVTSKQM \
  | 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: 31232b94ae379191d5a41ffaaace4a8319238748353caf58e632408ac478e497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4226ad58a0c26276ec8d762623b06d896be913a5f24ccfed10a5a98a051ce851",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-19T16:37:39Z",
    "title_canon_sha256": "6f3698f3ff74f552afda0ba0a7fc9c4a674241b99e2ab524904157e300e5a5f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21583",
    "kind": "arxiv",
    "version": 1
  }
}