Pith Number

pith:QQOHGWXS

pith:2014:QQOHGWXSMEJTOEM7HTWJQTZH2D

not attested not anchored not stored refs pending

On the Spectrum of Wenger Graphs

Felix Lazebnik, Sebastian M. Cioab\u{a}, Weiqiang Li

arxiv:1402.3341 v1 · 2014-02-14 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQOHGWXSMEJTOEM7HTWJQTZH2D}

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	2026-05-18T02:59:05.514211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

841c735af2611337119f3cec984f27d0ee2e3962f74328ee3768da75fac9d760

Aliases

arxiv: 1402.3341 · arxiv_version: 1402.3341v1 · doi: 10.48550/arxiv.1402.3341 · pith_short_12: QQOHGWXSMEJT · pith_short_16: QQOHGWXSMEJTOEM7 · pith_short_8: QQOHGWXS

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/QQOHGWXSMEJTOEM7HTWJQTZH2D \
  | 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: 841c735af2611337119f3cec984f27d0ee2e3962f74328ee3768da75fac9d760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d220780721c36434f86bdedc1041ae0eb2ba24113c77f3a2b4f01622af77916",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-14T01:20:21Z",
    "title_canon_sha256": "d8c4640b56b13f04a06f3947cb8a3fdee46e931e65fb41f901f2a36011a914aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3341",
    "kind": "arxiv",
    "version": 1
  }
}