Pith Number

pith:7PICQKF6

pith:2010:7PICQKF62HBITJBKXZELZ25KCJ

not attested not anchored not stored refs pending

The possible values of critical points between varieties of lattices

Pierre Gillibert (LMNO)

arxiv:1003.5742 v3 · 2010-03-30 · math.LO · 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{7PICQKF62HBITJBKXZELZ25KCJ}

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	2026-05-18T02:55:57.786828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbd02828bed1c289a42abe48bcebaa125afff3b207e29a7a18c1b254e7267a56

Aliases

arxiv: 1003.5742 · arxiv_version: 1003.5742v3 · doi: 10.48550/arxiv.1003.5742 · pith_short_12: 7PICQKF62HBI · pith_short_16: 7PICQKF62HBITJBK · pith_short_8: 7PICQKF6

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/7PICQKF62HBITJBKXZELZ25KCJ \
  | 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: fbd02828bed1c289a42abe48bcebaa125afff3b207e29a7a18c1b254e7267a56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "995c27f1501ea81d43b5b5230752eb7e49d69b79a4f6ea609d16e21b6b64d0ac",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-03-30T06:47:13Z",
    "title_canon_sha256": "173831b99767b18409c5a7b59a871ff30a1ba87d6d58254cbcb578132d2ae447"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5742",
    "kind": "arxiv",
    "version": 3
  }
}