pith. sign in
Pith Number

pith:3HV7HWDU

pith:2012:3HV7HWDUNADXYZPZGAB2LGVQ34
not attested not anchored not stored refs pending

Rule-weighted and terminal-weighted context-free grammars have identical expressivity

INRIA Saclay - Ile de France), Yann Ponty (LIX

arxiv:1205.0627 v1 · 2012-05-03 · cs.CL

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3HV7HWDUNADXYZPZGAB2LGVQ34}

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 2026-05-18T03:56:25.370508Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d9ebf3d87468077c65f93003a59ab0df240a84f29b929be9b5a04ad0737bbb04

Aliases

arxiv: 1205.0627 · arxiv_version: 1205.0627v1 · doi: 10.48550/arxiv.1205.0627 · pith_short_12: 3HV7HWDUNADX · pith_short_16: 3HV7HWDUNADXYZPZ · pith_short_8: 3HV7HWDU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3HV7HWDUNADXYZPZGAB2LGVQ34 \
  | 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: d9ebf3d87468077c65f93003a59ab0df240a84f29b929be9b5a04ad0737bbb04
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "85a9ce57a6b349bd8df6755a70d8310564a0b7ab2911231d2dfdb59d6d801687",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2012-05-03T06:49:59Z",
    "title_canon_sha256": "d922bd5d29cdde293e5c9f34cfb6b75e746cfc0f900410d99bd66afd01fdbde5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0627",
    "kind": "arxiv",
    "version": 1
  }
}