Pith Number

pith:LGQ5TNQJ

pith:2006:LGQ5TNQJXCH44XTN73EXSF23RW

not attested not anchored not stored refs pending

Direct and dual laws for automata with multiplicities

Eric Laugerotte (LIFAR EA2655), G\'erard Duchamp (LIPN), Jean-Gabriel Luque (IGM-LabInfo), Marianne Flouret (LIH EA3219)

arxiv:math/0607412 v1 · 2006-07-18 · math.CO · cs.DM · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGQ5TNQJXCH44XTN73EXSF23RW}

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	2026-05-18T01:08:50.060632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59a1d9b609b88fce5e6dfec979175b8d8c599250a2ba26b156e3f3a19f85357e

Aliases

arxiv: math/0607412 · arxiv_version: math/0607412v1 · doi: 10.48550/arxiv.math/0607412 · pith_short_12: LGQ5TNQJXCH4 · pith_short_16: LGQ5TNQJXCH44XTN · pith_short_8: LGQ5TNQJ

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/LGQ5TNQJXCH44XTN73EXSF23RW \
  | 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: 59a1d9b609b88fce5e6dfec979175b8d8c599250a2ba26b156e3f3a19f85357e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de4030c948bda7e8a39e8db3563892f4a12cec821bb4a131f9b6014ee840c8b1",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.SC"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-07-18T07:08:35Z",
    "title_canon_sha256": "a644ace022285f66528beeaf4ab0a8cffc78e52c4515769f4b7c3b128359932e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607412",
    "kind": "arxiv",
    "version": 1
  }
}