Pith Number

pith:3XMSLVM5

pith:2011:3XMSLVM5SNAVVNYJRWJS5TYOLX

not attested not anchored not stored refs pending

Maximum edge-cuts in cubic graphs with large girth and in random cubic graphs

Daniel Kral, Frantisek Kardos, Jan Volec

arxiv:1108.6280 v4 · 2011-08-31 · 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{3XMSLVM5SNAVVNYJRWJS5TYOLX}

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	2026-05-18T03:29:16.485297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd925d59d93415ab7098d932ecf0e5dd3ca8140d7e1a64e9074067151da9ef0

Aliases

arxiv: 1108.6280 · arxiv_version: 1108.6280v4 · doi: 10.48550/arxiv.1108.6280 · pith_short_12: 3XMSLVM5SNAV · pith_short_16: 3XMSLVM5SNAVVNYJ · pith_short_8: 3XMSLVM5

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/3XMSLVM5SNAVVNYJRWJS5TYOLX \
  | 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: ddd925d59d93415ab7098d932ecf0e5dd3ca8140d7e1a64e9074067151da9ef0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4991520945091d19535ff3ca5f2b42fe7af52811db640a1c8ea52c5b84dab97b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-31T16:08:29Z",
    "title_canon_sha256": "a83565f11481f060f5f090528e8ac5bf88c519bc3e10252b4d505a02c9b84388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6280",
    "kind": "arxiv",
    "version": 4
  }
}