Pith Number

pith:4KK3RHWH

pith:2014:4KK3RHWHCTDSB6FKCW2Y3C6FWI

not attested not anchored not stored refs pending

Constructing small tree grammars and small circuits for formulas

Artur Jez, Danny Hucke, Eric Noeth, Markus Lohrey, Moses Ganardi

arxiv:1407.4286 v3 · 2014-07-16 · cs.DS · cs.CC · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KK3RHWHCTDSB6FKCW2Y3C6FWI}

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	2026-05-18T01:32:41.839036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e295b89ec714c720f8aa15b58d8bc5b21cc99276238cc65a5be645efcc01ff0c

Aliases

arxiv: 1407.4286 · arxiv_version: 1407.4286v3 · doi: 10.48550/arxiv.1407.4286 · pith_short_12: 4KK3RHWHCTDS · pith_short_16: 4KK3RHWHCTDSB6FK · pith_short_8: 4KK3RHWH

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/4KK3RHWHCTDSB6FKCW2Y3C6FWI \
  | 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: e295b89ec714c720f8aa15b58d8bc5b21cc99276238cc65a5be645efcc01ff0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65e9794589523755a2853073702ccad5f1b10d47826b817f168130c7ddbfdc53",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2014-07-16T12:48:48Z",
    "title_canon_sha256": "4c47020c35a247a1b8e3d832ac30ea4f33f386cca1c596c463d91a2d10facc92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4286",
    "kind": "arxiv",
    "version": 3
  }
}