Pith Number

pith:IU3KMC3F

pith:2013:IU3KMC3FXK34WV63ZTNFJEXA55

not attested not anchored not stored refs pending

An exponential lower bound for Cunningham's rule

David Avis, Oliver Friedmann

arxiv:1305.3944 v1 · 2013-05-16 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IU3KMC3FXK34WV63ZTNFJEXA55}

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	2026-05-18T03:25:26.750432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4536a60b65bab7cb57dbccda5492e0ef7c97287c794d65f783b6668430e441a0

Aliases

arxiv: 1305.3944 · arxiv_version: 1305.3944v1 · doi: 10.48550/arxiv.1305.3944 · pith_short_12: IU3KMC3FXK34 · pith_short_16: IU3KMC3FXK34WV63 · pith_short_8: IU3KMC3F

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/IU3KMC3FXK34WV63ZTNFJEXA55 \
  | 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: 4536a60b65bab7cb57dbccda5492e0ef7c97287c794d65f783b6668430e441a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5299432e41b05ff3ad7fa469f52e25e9d9be940c9c9f600da43f53b9d2c2860b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-05-16T21:57:38Z",
    "title_canon_sha256": "4b7765da0ea0a47ef1e2fb35d8b8514b13a9362adc39d30ba2e2fa6cd192c755"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3944",
    "kind": "arxiv",
    "version": 1
  }
}