Pith Number

pith:SCBT3F6K

pith:2015:SCBT3F6K2U5CVOY6EHU7ZPBGU7

not attested not anchored not stored refs pending

Formalization of the pumping lemma for context-free languages

Jos\'e Carlos Bacelar Almeida, Marcus V. M. Ramos, Nelma Moreira, Ruy J. G. B. de Queiroz

arxiv:1510.04748 v1 · 2015-10-16 · 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{SCBT3F6K2U5CVOY6EHU7ZPBGU7}

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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	2026-05-18T01:30:01.569611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90833d97cad53a2abb1e21e9fcbc26a7c9d3fbaa768a14cffbfbd5963d3b773d

Aliases

arxiv: 1510.04748 · arxiv_version: 1510.04748v1 · doi: 10.48550/arxiv.1510.04748 · pith_short_12: SCBT3F6K2U5C · pith_short_16: SCBT3F6K2U5CVOY6 · pith_short_8: SCBT3F6K

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/SCBT3F6K2U5CVOY6EHU7ZPBGU7 \
  | 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: 90833d97cad53a2abb1e21e9fcbc26a7c9d3fbaa768a14cffbfbd5963d3b773d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bce7e4f96a29615c94507e231e6990dd2d5bd711c57d29bad57807be17e695a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2015-10-16T00:02:47Z",
    "title_canon_sha256": "cd260b4ef43d0d01f5ec7acd08699359a62d5e783ac6e9eb6ca8b0e9a0f71916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04748",
    "kind": "arxiv",
    "version": 1
  }
}