Pith Number

pith:3NXIUU72

pith:2014:3NXIUU72BNB5QB666LUE3ALBJQ

not attested not anchored not stored refs pending

Computational Complexity of Functions

Leonid A. Levin

arxiv:1411.3010 v1 · 2014-11-11 · 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{3NXIUU72BNB5QB666LUE3ALBJQ}

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	2026-05-17T23:59:33.523335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db6e8a53fa0b43d807def2e84d81614c141a5485a2396b0709f893cb29d47994

Aliases

arxiv: 1411.3010 · arxiv_version: 1411.3010v1 · doi: 10.48550/arxiv.1411.3010 · pith_short_12: 3NXIUU72BNB5 · pith_short_16: 3NXIUU72BNB5QB66 · pith_short_8: 3NXIUU72

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/3NXIUU72BNB5QB666LUE3ALBJQ \
  | 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: db6e8a53fa0b43d807def2e84d81614c141a5485a2396b0709f893cb29d47994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56c73290cde16f03bf68f3ed26797b843ed744168ad4a1dde114298aeea6fc40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-11-11T22:50:51Z",
    "title_canon_sha256": "538571b105e4f7844f4385c02cfaa301efc42ffe70bdd446fca8969f4e9451d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3010",
    "kind": "arxiv",
    "version": 1
  }
}