Pith Number

pith:V75EDFGH

pith:2025:V75EDFGHVFN342ZYM4XVXAXECH

not attested not anchored not stored refs pending

A note on two cycles of consecutive even lengths in graphs

Binlong Li, Lingjuan Shi, Yufeng Pan

arxiv:2506.08692 v1 · 2025-06-10 · 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{V75EDFGHVFN342ZYM4XVXAXECH}

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.

Cited by

1 paper in Pith

On $2$-connected graphs avoiding cycles of length $0$ modulo $4$

Receipt and verification

First computed	2026-07-05T11:19:11.968176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

affa4194c7a95bbe6b38672f5b82e411f4ed03778096c44b8560f1a504c139a4

Aliases

arxiv: 2506.08692 · arxiv_version: 2506.08692v1 · doi: 10.48550/arxiv.2506.08692 · pith_short_12: V75EDFGHVFN3 · pith_short_16: V75EDFGHVFN342ZY · pith_short_8: V75EDFGH

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/V75EDFGHVFN342ZYM4XVXAXECH \
  | 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: affa4194c7a95bbe6b38672f5b82e411f4ed03778096c44b8560f1a504c139a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6443bda71f81fc8436872e2d126c7fe691dad185d1f75ae525afaa0fbbc84271",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-10T11:08:17Z",
    "title_canon_sha256": "c9833694bae2b91cf4f5101faee995930ce7a009a84430bcfe07401c3f6915b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08692",
    "kind": "arxiv",
    "version": 1
  }
}