Pith Number

pith:4MHEAXUS

pith:2011:4MHEAXUSDF67OF5BOIFPHNVR3G

not attested not anchored not stored refs pending

Proof nets for the Lambek-Grishin calculus

Michael Moortgat, Richard Moot

arxiv:1112.6384 v1 · 2011-12-29 · 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{4MHEAXUSDF67OF5BOIFPHNVR3G}

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	2026-05-18T04:05:28.635041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e30e405e92197df717a1720af3b6b1d985e73d3caa0b081be032d1107d202ef9

Aliases

arxiv: 1112.6384 · arxiv_version: 1112.6384v1 · doi: 10.48550/arxiv.1112.6384 · pith_short_12: 4MHEAXUSDF67 · pith_short_16: 4MHEAXUSDF67OF5B · pith_short_8: 4MHEAXUS

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/4MHEAXUSDF67OF5BOIFPHNVR3G \
  | 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: e30e405e92197df717a1720af3b6b1d985e73d3caa0b081be032d1107d202ef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e19e0765acbd2d98d92c1a3fa511ae8cc53066fa7108887556db3a9f9596de6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2011-12-29T19:16:20Z",
    "title_canon_sha256": "1a4bb2f170d1d31ae38724e0ffc9fb568d4a0395bac8d190edde7f81f0dd696f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6384",
    "kind": "arxiv",
    "version": 1
  }
}