Pith Number

pith:LMQJO7MW

pith:2016:LMQJO7MWKAGEIU3MLUTKJVXIET

not attested not anchored not stored refs pending

Cyclability of $id$-cycles in graphs

Bo Ning, Ruonan Li, Shenggui Zhang

arxiv:1601.01401 v1 · 2016-01-07 · 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{LMQJO7MWKAGEIU3MLUTKJVXIET}

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	2026-05-18T01:23:15.528857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b20977d96500c44536c5d26a4d6e824ca62e89827e2310d2d5495213e3a9f1d

Aliases

arxiv: 1601.01401 · arxiv_version: 1601.01401v1 · doi: 10.48550/arxiv.1601.01401 · pith_short_12: LMQJO7MWKAGE · pith_short_16: LMQJO7MWKAGEIU3M · pith_short_8: LMQJO7MW

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/LMQJO7MWKAGEIU3MLUTKJVXIET \
  | 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: 5b20977d96500c44536c5d26a4d6e824ca62e89827e2310d2d5495213e3a9f1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff31fae29498c016a4a4ebd1950f9de545875f25114864a47ea825f45766a605",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-07T04:58:48Z",
    "title_canon_sha256": "3afbab802e2681fdac17eb1c44c7d252c1cd6086ed2b7af4b8fa2843fb6390ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01401",
    "kind": "arxiv",
    "version": 1
  }
}