Pith Number

pith:JRZBZLM2

pith:2012:JRZBZLM25YJJQJON44DKSAAKOR

not attested not anchored not stored refs pending

A Proof of the Pumping Lemma for Context-Free Languages Through Pushdown Automata

Antoine Amarilli, Marc Jeanmougin

arxiv:1207.2819 v2 · 2012-07-12 · 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{JRZBZLM25YJJQJON44DKSAAKOR}

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	2026-05-18T03:19:11.652806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c721cad9aee129825cde706a9000a746919ddeb6290a1182ceea010f97f532c

Aliases

arxiv: 1207.2819 · arxiv_version: 1207.2819v2 · doi: 10.48550/arxiv.1207.2819 · pith_short_12: JRZBZLM25YJJ · pith_short_16: JRZBZLM25YJJQJON · pith_short_8: JRZBZLM2

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/JRZBZLM25YJJQJON44DKSAAKOR \
  | 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: 4c721cad9aee129825cde706a9000a746919ddeb6290a1182ceea010f97f532c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d568cab6df041bccb4f93301ec6b4b36aaefe50f67ec0ea07175c68b0abfc2dd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2012-07-12T01:01:58Z",
    "title_canon_sha256": "8609144b69f819179f9e8898a9148ac0cbfef8a83ab3f055be90b292bd5cc098"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2819",
    "kind": "arxiv",
    "version": 2
  }
}