Pith Number

pith:MKPOIBQU

pith:2012:MKPOIBQU3QCZMBMYYRLLKTIBDY

not attested not anchored not stored refs pending

On the connectivity of manifold graphs

Anders Bj\"orner, Kathrin Vorwerk

arxiv:1207.5381 v3 · 2012-07-23 · math.CO · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKPOIBQU3QCZMBMYYRLLKTIBDY}

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	2026-05-18T03:09:34.117307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

629ee40614dc05960598c456b54d011e39425b668fe98c9dfe88965350d58ede

Aliases

arxiv: 1207.5381 · arxiv_version: 1207.5381v3 · doi: 10.48550/arxiv.1207.5381 · pith_short_12: MKPOIBQU3QCZ · pith_short_16: MKPOIBQU3QCZMBMY · pith_short_8: MKPOIBQU

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/MKPOIBQU3QCZMBMYYRLLKTIBDY \
  | 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: 629ee40614dc05960598c456b54d011e39425b668fe98c9dfe88965350d58ede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b883198ac7bb97133668f8146fa948bcf20a84ad78898af115e94e551a4d3616",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-23T13:10:02Z",
    "title_canon_sha256": "f8c2304edb6d505ef4c46591d9c80c1377fcb267d2b27245059306fa3f44c7cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5381",
    "kind": "arxiv",
    "version": 3
  }
}