Pith Number

pith:X2WJ3XTR

pith:2011:X2WJ3XTR37SPTMOIBGNCD7LZ4A

not attested not anchored not stored refs pending

Connectivity for bridge-addable monotone graph classes

Bruce Reed, Colin McDiarmid, Louigi Addario Berry

arxiv:1110.0009 v1 · 2011-09-30 · 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{X2WJ3XTR37SPTMOIBGNCD7LZ4A}

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	2026-05-18T04:11:50.994738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beac9dde71dfe4f9b1c8099a21fd79e023e30a7ccbd15f4ed773ef4aa95742bc

Aliases

arxiv: 1110.0009 · arxiv_version: 1110.0009v1 · doi: 10.48550/arxiv.1110.0009 · pith_short_12: X2WJ3XTR37SP · pith_short_16: X2WJ3XTR37SPTMOI · pith_short_8: X2WJ3XTR

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/X2WJ3XTR37SPTMOIBGNCD7LZ4A \
  | 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: beac9dde71dfe4f9b1c8099a21fd79e023e30a7ccbd15f4ed773ef4aa95742bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76bb05a65754a09ddd80cad4adaab13644eefa8957fd6e5b2805251ef30a99af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-30T20:07:37Z",
    "title_canon_sha256": "194e46e437224c03c37e0842110c156f3c425f7e98bc58077580ecb3dd48cb5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0009",
    "kind": "arxiv",
    "version": 1
  }
}