Pith Number

pith:TKB4IS6P

pith:2013:TKB4IS6PCHVSFCOLYSL43FQFBG

not attested not anchored not stored refs pending

Lambek vs. Lambek: Functorial Vector Space Semantics and String Diagrams for Lambek Calculus

Bob Coecke, Edward Grefenstette, Mehrnoosh Sadrzadeh

arxiv:1302.0393 v1 · 2013-02-02 · math.LO · cs.CL · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKB4IS6PCHVSFCOLYSL43FQFBG}

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	2026-05-18T03:20:22.516703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a83c44bcf11eb2289cbc497cd960509822527c8cdbf6932d3c3fd7020f45fd9

Aliases

arxiv: 1302.0393 · arxiv_version: 1302.0393v1 · doi: 10.48550/arxiv.1302.0393 · pith_short_12: TKB4IS6PCHVS · pith_short_16: TKB4IS6PCHVSFCOL · pith_short_8: TKB4IS6P

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/TKB4IS6PCHVSFCOLYSL43FQFBG \
  | 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: 9a83c44bcf11eb2289cbc497cd960509822527c8cdbf6932d3c3fd7020f45fd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67c1ea5bb7e4db0532e8ec8558ab0fe9ba2960562525587a5e9ef082bd35219f",
    "cross_cats_sorted": [
      "cs.CL",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-02-02T15:57:26Z",
    "title_canon_sha256": "c685ce5c276eaadcf263f72f4053264a3f076a0febe9f90a0f23d25380990add"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0393",
    "kind": "arxiv",
    "version": 1
  }
}