Pith Number

pith:GGJUR3OI

pith:2010:GGJUR3OILVTUM37XHLLDDTKEOQ

not attested not anchored not stored refs pending

Model-completion of varieties of co-Heyting algebras

Luck Darni\`ere (LAREMA), Markus Junker

arxiv:1001.1663 v2 · 2010-01-11 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGJUR3OILVTUM37XHLLDDTKEOQ}

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	2026-05-18T00:43:38.154036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

319348edc85d67466ff73ad631cd447429fa907ab5fbd29144348dc9e7a939e5

Aliases

arxiv: 1001.1663 · arxiv_version: 1001.1663v2 · doi: 10.48550/arxiv.1001.1663 · pith_short_12: GGJUR3OILVTU · pith_short_16: GGJUR3OILVTUM37X · pith_short_8: GGJUR3OI

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/GGJUR3OILVTUM37XHLLDDTKEOQ \
  | 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: 319348edc85d67466ff73ad631cd447429fa907ab5fbd29144348dc9e7a939e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d13b12debb9d280ddecfbe22f03770cb2598a209f52faaaef78831bc180e7bec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-01-11T14:13:34Z",
    "title_canon_sha256": "c0e511e6499a2f964eafb774f473182b6c049975b5dc7fa4fea6c2a4f4402dc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1663",
    "kind": "arxiv",
    "version": 2
  }
}