Pith Number

pith:4H3MUTQP

pith:2010:4H3MUTQPYIZA2CZ4W7IL2S2YWS

not attested not anchored not stored refs pending

Arithmetic complexity via effective names for random sequences

Bj{\o}rn Kjos-Hanssen, Frank Stephan, Jason R. Teutsch

arxiv:1008.4825 v2 · 2010-08-28 · math.LO · 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{4H3MUTQPYIZA2CZ4W7IL2S2YWS}

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	2026-05-18T02:45:21.779348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1f6ca4e0fc2320d0b3cb7d0bd4b58b49b582b6ec25f361f806a83ebc0fa603e

Aliases

arxiv: 1008.4825 · arxiv_version: 1008.4825v2 · doi: 10.48550/arxiv.1008.4825 · pith_short_12: 4H3MUTQPYIZA · pith_short_16: 4H3MUTQPYIZA2CZ4 · pith_short_8: 4H3MUTQP

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/4H3MUTQPYIZA2CZ4W7IL2S2YWS \
  | 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: e1f6ca4e0fc2320d0b3cb7d0bd4b58b49b582b6ec25f361f806a83ebc0fa603e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aee9568663360d204cd3f2b9130fadfd7cc041ef9c9f1e968bb8e9739776834c",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-08-28T01:17:15Z",
    "title_canon_sha256": "e0b8bb7c6d4902601827df88176d8a0ff7cf96682797bbf0fb0fe2d17440f2ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4825",
    "kind": "arxiv",
    "version": 2
  }
}