Pith Number

pith:3ODP7RBG

pith:2018:3ODP7RBGG6FAJVH7V5DBMCN2FP

not attested not anchored not stored refs pending

A note on spanoid rank

Yuzhou Gu

arxiv:1810.02494 v2 · 2018-10-05 · math.CO · cs.CC · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ODP7RBGG6FAJVH7V5DBMCN2FP}

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	2026-05-18T00:00:12.779362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db86ffc426378a04d4ffaf461609ba2bcf2221ed182d155ce75fcf4210ca2827

Aliases

arxiv: 1810.02494 · arxiv_version: 1810.02494v2 · doi: 10.48550/arxiv.1810.02494 · pith_short_12: 3ODP7RBGG6FA · pith_short_16: 3ODP7RBGG6FAJVH7 · pith_short_8: 3ODP7RBG

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/3ODP7RBGG6FAJVH7V5DBMCN2FP \
  | 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: db86ffc426378a04d4ffaf461609ba2bcf2221ed182d155ce75fcf4210ca2827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfb08414a73a983646b4dbfe964cf5707be3b32a96a1ef352f2e380480fd2984",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-05T02:36:23Z",
    "title_canon_sha256": "887476f563f8477892b826e2ab72e66d8f645404cbb0c6007a61c2e1c11d9b97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02494",
    "kind": "arxiv",
    "version": 2
  }
}