Pith Number

pith:K3IO2IFH

pith:2016:K3IO2IFHNQWTNKMFVQGFOSNLUH

not attested not anchored not stored refs pending

On the zone complexity of a vertex

Shira Zerbib

arxiv:1604.07268 v1 · 2016-04-25 · 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{K3IO2IFHNQWTNKMFVQGFOSNLUH}

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	2026-05-18T01:16:22.578476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56d0ed20a76c2d36a985ac0c5749aba1de5fc38d2a4adaf167e63959c636b3ef

Aliases

arxiv: 1604.07268 · arxiv_version: 1604.07268v1 · doi: 10.48550/arxiv.1604.07268 · pith_short_12: K3IO2IFHNQWT · pith_short_16: K3IO2IFHNQWTNKMF · pith_short_8: K3IO2IFH

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/K3IO2IFHNQWTNKMFVQGFOSNLUH \
  | 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: 56d0ed20a76c2d36a985ac0c5749aba1de5fc38d2a4adaf167e63959c636b3ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1316a8289c50d48aefa5c230af6e78e75ed4fcc521ce50a947b957e371514c22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-25T14:07:47Z",
    "title_canon_sha256": "a5569cf4ab4f17cf5888ca26daae06889103ad586633c1668cebbe33d4591b81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07268",
    "kind": "arxiv",
    "version": 1
  }
}