Pith Number

pith:ETKYJLAL

pith:2026:ETKYJLAL776JQSCBVEPBIA4HUM

not attested not anchored not stored refs pending

Irregular subgraph in a regular graph

Hehui Wu, Quanyu Tang, Tianyue Cao

arxiv:2607.06465 v1 · 2026-07-07 · 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{ETKYJLAL776JQSCBVEPBIA4HUM}

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	2026-07-08T01:19:27.094713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24d584ac0bfffc984841a91e140387a31eaf97fd35d0727199ec0ede6bea3131

Aliases

arxiv: 2607.06465 · arxiv_version: 2607.06465v1 · doi: 10.48550/arxiv.2607.06465 · pith_short_12: ETKYJLAL776J · pith_short_16: ETKYJLAL776JQSCB · pith_short_8: ETKYJLAL

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/ETKYJLAL776JQSCBVEPBIA4HUM \
  | 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: 24d584ac0bfffc984841a91e140387a31eaf97fd35d0727199ec0ede6bea3131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a8f166c611180499d47e2f50c215d21de8d15a30bcd239d5fe2b8f00ff06648",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-07T16:25:49Z",
    "title_canon_sha256": "08e6a7dc17d1569536e62fc3b34fe4b6c2f1fe28a0626d0a2c6987205396113c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06465",
    "kind": "arxiv",
    "version": 1
  }
}