Pith Number

pith:NNP4O5IN

pith:2015:NNP4O5INXXAXTWXZ3IMMLN5QKO

not attested not anchored not stored refs pending

The Unit Bar Visibility Number of a Graph

Emily Gaub, Michelle Rose, Paul S. Wenger

arxiv:1508.02616 v2 · 2015-08-11 · 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{NNP4O5INXXAXTWXZ3IMMLN5QKO}

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	2026-05-18T01:35:00.451755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b5fc7750dbdc179daf9da18c5b7b0539c0ef9aa6e7d1412d0ff6f26c1436d2b

Aliases

arxiv: 1508.02616 · arxiv_version: 1508.02616v2 · doi: 10.48550/arxiv.1508.02616 · pith_short_12: NNP4O5INXXAX · pith_short_16: NNP4O5INXXAXTWXZ · pith_short_8: NNP4O5IN

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/NNP4O5INXXAXTWXZ3IMMLN5QKO \
  | 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: 6b5fc7750dbdc179daf9da18c5b7b0539c0ef9aa6e7d1412d0ff6f26c1436d2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f39e800da4a2296243abb70be0caa673ed097847dcbd041c0c033208ce0e232",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-11T14:52:06Z",
    "title_canon_sha256": "99c13814eb716bea4330743363a85e0af117035e3553bd8bfa600dd1c8d97fbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02616",
    "kind": "arxiv",
    "version": 2
  }
}