Pith Number

pith:IXUJYVWL

pith:2015:IXUJYVWLSETKD26UTGXELER472

not attested not anchored not stored refs pending

$(r)$-Pancyclic, $(r)$-Bipancyclic and Oddly $(r)$-Bipancyclic Graphs

Abdollah Khodkar, Lisa Mueller, Oliver Sawin, WonHyuk Choi

arxiv:1510.03052 v1 · 2015-10-11 · 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{IXUJYVWLSETKD26UTGXELER472}

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	2026-05-18T01:30:32.849201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45e89c56cb9126a1ebd499ae45923cfe872a5f260c4ec6c0c9b215e9e0839a98

Aliases

arxiv: 1510.03052 · arxiv_version: 1510.03052v1 · doi: 10.48550/arxiv.1510.03052 · pith_short_12: IXUJYVWLSETK · pith_short_16: IXUJYVWLSETKD26U · pith_short_8: IXUJYVWL

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/IXUJYVWLSETKD26UTGXELER472 \
  | 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: 45e89c56cb9126a1ebd499ae45923cfe872a5f260c4ec6c0c9b215e9e0839a98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e3503539f6b0c24917ec04428ccc86d4a5dd6e2e03667a81bdb1bd300383db6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-11T13:41:47Z",
    "title_canon_sha256": "58b5b5f1551b83caee10a066c34468422c8e2b35d6d61e116360167d2a9811b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03052",
    "kind": "arxiv",
    "version": 1
  }
}