Pith Number

pith:FK3ZBRPT

pith:2015:FK3ZBRPTZIPWLIMT4RZJHAEBH3

not attested not anchored not stored refs pending

Formalization of simplification for context-free grammars

Marcus V. M. Ramos, Ruy J. G. B. de Queiroz

arxiv:1509.02032 v2 · 2015-09-07 · 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{FK3ZBRPTZIPWLIMT4RZJHAEBH3}

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	2026-05-18T01:30:01.738358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ab790c5f3ca1f65a193e4729380813eeb0f057d464a881eb652e29e54d9bd2e

Aliases

arxiv: 1509.02032 · arxiv_version: 1509.02032v2 · doi: 10.48550/arxiv.1509.02032 · pith_short_12: FK3ZBRPTZIPW · pith_short_16: FK3ZBRPTZIPWLIMT · pith_short_8: FK3ZBRPT

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/FK3ZBRPTZIPWLIMT4RZJHAEBH3 \
  | 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: 2ab790c5f3ca1f65a193e4729380813eeb0f057d464a881eb652e29e54d9bd2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ceaa7a508472b4fab0663b3b156a4904545740ad9444d645c388fce56292b49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2015-09-07T13:23:11Z",
    "title_canon_sha256": "6c06e6d37d955c20cb07ed2a98fc6229dc4d79cc68ff93612c32b985b39bbfda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02032",
    "kind": "arxiv",
    "version": 2
  }
}