Pith Number

pith:QXQM4ZZS

pith:2014:QXQM4ZZSWVKBUPT6WKIBGVX2ZP

not attested not anchored not stored refs pending

Pebbling on $C_{4k+3}\times G$ and $M(C_{2n})\times G$

Jun-Ming Xu, Yong-Liang Pan, Zheng-Jiang Xia

arxiv:1402.0764 v2 · 2014-02-04 · 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{QXQM4ZZSWVKBUPT6WKIBGVX2ZP}

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	2026-05-18T03:00:00.057354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85e0ce6732b5541a3e7eb2901356facbf8def3bbdc0865e59ff912f516be109a

Aliases

arxiv: 1402.0764 · arxiv_version: 1402.0764v2 · doi: 10.48550/arxiv.1402.0764 · pith_short_12: QXQM4ZZSWVKB · pith_short_16: QXQM4ZZSWVKBUPT6 · pith_short_8: QXQM4ZZS

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/QXQM4ZZSWVKBUPT6WKIBGVX2ZP \
  | 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: 85e0ce6732b5541a3e7eb2901356facbf8def3bbdc0865e59ff912f516be109a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be632b1313c05f8c594df43089885ab302b2858d5eb1fa07af24e777f6466f12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-04T15:33:12Z",
    "title_canon_sha256": "128b9575eefcc403c916ff753afe8a5e43ef02685598ff7f86c5e2f9b339b220"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0764",
    "kind": "arxiv",
    "version": 2
  }
}