Pith Number

pith:XXCJWJL2

pith:2010:XXCJWJL22APGH5FNAIVK66G2IA

not attested not anchored not stored refs pending

Symmetric categorial grammar: residuation and Galois connections

Michael Moortgat

arxiv:1008.0170 v1 · 2010-08-01 · cs.CL

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXCJWJL22APGH5FNAIVK66G2IA}

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	2026-05-18T04:42:43.900420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdc49b257ad01e63f4ad022aaf78da400bfc4e30c876b6546fd6b7b877796378

Aliases

arxiv: 1008.0170 · arxiv_version: 1008.0170v1 · doi: 10.48550/arxiv.1008.0170 · pith_short_12: XXCJWJL22APG · pith_short_16: XXCJWJL22APGH5FN · pith_short_8: XXCJWJL2

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/XXCJWJL22APGH5FNAIVK66G2IA \
  | 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: bdc49b257ad01e63f4ad022aaf78da400bfc4e30c876b6546fd6b7b877796378

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e70c098ed4667548db2befa8b2f898f6b0ec6ea60de1ed329b5f4da163af1e16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2010-08-01T12:45:58Z",
    "title_canon_sha256": "42848c79676d6aaefd507621cb8a390a3ecb59de2a7f9c7dcf39e93798455f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0170",
    "kind": "arxiv",
    "version": 1
  }
}