Pith Number

pith:IOJ2WMOC

pith:2010:IOJ2WMOCOLNE6KXXBUCCIX27DI

not attested not anchored not stored refs pending

The structure of graphs with a vital linkage of order 2

Dillon Mayhew, Geoff Whittle, Stefan H. M. van Zwam

arxiv:1006.5485 v2 · 2010-06-29 · 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{IOJ2WMOCOLNE6KXXBUCCIX27DI}

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	2026-05-18T04:18:04.634915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4393ab31c272da4f2af70d04245f5f1a1bbcc7890e7946ed5bc7083df4e3333f

Aliases

arxiv: 1006.5485 · arxiv_version: 1006.5485v2 · doi: 10.48550/arxiv.1006.5485 · pith_short_12: IOJ2WMOCOLNE · pith_short_16: IOJ2WMOCOLNE6KXX · pith_short_8: IOJ2WMOC

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/IOJ2WMOCOLNE6KXXBUCCIX27DI \
  | 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: 4393ab31c272da4f2af70d04245f5f1a1bbcc7890e7946ed5bc7083df4e3333f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ae4f38683bfb0d9dae2eddfa33752b598d8c01d326c93216129e53a3d28aa69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-06-29T00:59:29Z",
    "title_canon_sha256": "8220ef90c2d5e45bb91cabc76c3fbb95c6d332c4f770b2678411d13062e1170c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5485",
    "kind": "arxiv",
    "version": 2
  }
}