Pith Number

pith:G7Y4V4JC

pith:2012:G7Y4V4JCBUWFRQWUXNOJAJBGGA

not attested not anchored not stored refs pending

A note on the minimum skew rank of a graph

Bo Zhou, Yanna Wang

arxiv:1206.3409 v1 · 2012-06-15 · 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{G7Y4V4JCBUWFRQWUXNOJAJBGGA}

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	2026-05-18T00:51:03.643684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37f1caf1220d2c58c2d4bb5c902426301d18da9478d82a1d64cae9707d15070f

Aliases

arxiv: 1206.3409 · arxiv_version: 1206.3409v1 · doi: 10.48550/arxiv.1206.3409 · pith_short_12: G7Y4V4JCBUWF · pith_short_16: G7Y4V4JCBUWFRQWU · pith_short_8: G7Y4V4JC

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/G7Y4V4JCBUWFRQWUXNOJAJBGGA \
  | 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: 37f1caf1220d2c58c2d4bb5c902426301d18da9478d82a1d64cae9707d15070f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c2393d386555a5017f33f415517e6e2136517190ce4a02925e5677403a55a5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-15T09:24:48Z",
    "title_canon_sha256": "b94978457599881e0f863da2dd8d8fd82f3fadfd7c38d451da4f6d376fce43fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3409",
    "kind": "arxiv",
    "version": 1
  }
}