Pith Number

pith:KDKV5BU2

pith:2015:KDKV5BU26ICLJJBOVMWTWSHKGY

not attested not anchored not stored refs pending

An Upper Bound on the Complexity of Recognizable Tree Languages

Dominique Lecomte (IMJ), IMJ), Olivier Finkel (ELM, Pierre Simonnet (SPE)

arxiv:1503.02840 v2 · 2015-03-10 · cs.FL · math.GN · math.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{KDKV5BU26ICLJJBOVMWTWSHKGY}

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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	2026-05-18T02:25:04.326638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50d55e869af204b4a42eab2d3b48ea361ed27c1cf05c8bb1f8d66e07b44f518a

Aliases

arxiv: 1503.02840 · arxiv_version: 1503.02840v2 · doi: 10.48550/arxiv.1503.02840 · pith_short_12: KDKV5BU26ICL · pith_short_16: KDKV5BU26ICLJJBO · pith_short_8: KDKV5BU2

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/KDKV5BU26ICLJJBOVMWTWSHKGY \
  | 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: 50d55e869af204b4a42eab2d3b48ea361ed27c1cf05c8bb1f8d66e07b44f518a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f21c12be6b2a72f20ff32c55afae982e59ef9d18d9a2f2e2ec8600a4d136239",
    "cross_cats_sorted": [
      "math.GN",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2015-03-10T10:02:21Z",
    "title_canon_sha256": "ad57212fcb105c1079a28f6cc66a51c226553a3ba61834f33ced218aefe7baf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02840",
    "kind": "arxiv",
    "version": 2
  }
}