Pith Number

pith:Q47ROL4T

pith:2009:Q47ROL4TMK6S4653ZTKJW75RLX

not attested not anchored not stored refs pending

On Some Sets of Dictionaries Whose omega-Powers Have a Given Complexity

Olivier Finkel (ELM)

arxiv:0911.3307 v1 · 2009-11-17 · math.LO · cs.FL · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q47ROL4TMK6S4653ZTKJW75RLX}

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	2026-05-18T04:40:20.489930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

873f172f9362bd2e7bbbccd49b7fb15dfdf05f178c507169b59ea6bb2caa3cb4

Aliases

arxiv: 0911.3307 · arxiv_version: 0911.3307v1 · doi: 10.48550/arxiv.0911.3307 · pith_short_12: Q47ROL4TMK6S · pith_short_16: Q47ROL4TMK6S4653 · pith_short_8: Q47ROL4T

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/Q47ROL4TMK6S4653ZTKJW75RLX \
  | 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: 873f172f9362bd2e7bbbccd49b7fb15dfdf05f178c507169b59ea6bb2caa3cb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e8781485107efdd1b300f7060bceef81aaaaec8313a1cb839e1399d46e52eb2",
    "cross_cats_sorted": [
      "cs.FL",
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2009-11-17T13:40:29Z",
    "title_canon_sha256": "9032976700b2ccfa63fd7eb2826d3e4145f937bb672a11e778339f10e663dce4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3307",
    "kind": "arxiv",
    "version": 1
  }
}