Pith Number

pith:63URXMMX

pith:2013:63URXMMXT44IMWWK5NA7YLQHV4

not attested not anchored not stored refs pending

On the effect of the IO-substitution on the Parikh image of semilinear AFLs

Pierre Bourreau

arxiv:1311.0632 v1 · 2013-11-04 · 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{63URXMMXT44IMWWK5NA7YLQHV4}

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	2026-05-18T03:08:05.299574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6e91bb1979f38865acaeb41fc2e07af3c85626528c4908b12423349f523fd20

Aliases

arxiv: 1311.0632 · arxiv_version: 1311.0632v1 · doi: 10.48550/arxiv.1311.0632 · pith_short_12: 63URXMMXT44I · pith_short_16: 63URXMMXT44IMWWK · pith_short_8: 63URXMMX

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/63URXMMXT44IMWWK5NA7YLQHV4 \
  | 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: f6e91bb1979f38865acaeb41fc2e07af3c85626528c4908b12423349f523fd20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95c056ca1043788df337691d28650edd32427ae3ca05736331f048ebc5aecc65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2013-11-04T10:16:37Z",
    "title_canon_sha256": "8392c630eb6092155f26d974521d5f8b65dedda03f0650146b953808578c2874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0632",
    "kind": "arxiv",
    "version": 1
  }
}