Pith Number

pith:HXT5RPFX

pith:2011:HXT5RPFX4ZWUDHWW2XJ4MC4IJZ

not attested not anchored not stored refs pending

Convex Sublattices of a Lattice and a Fixed Point Property

Claude Laflamme, Dwight Duffus, Maurice Pouzet, Robert Woodrow

arxiv:1108.5210 v1 · 2011-08-25 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXT5RPFX4ZWUDHWW2XJ4MC4IJZ}

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	2026-05-18T00:56:54.241430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3de7d8bcb7e66d419ed6d5d3c60b884e57857f1414c18370266a646dc4b2729f

Aliases

arxiv: 1108.5210 · arxiv_version: 1108.5210v1 · doi: 10.48550/arxiv.1108.5210 · pith_short_12: HXT5RPFX4ZWU · pith_short_16: HXT5RPFX4ZWUDHWW · pith_short_8: HXT5RPFX

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/HXT5RPFX4ZWUDHWW2XJ4MC4IJZ \
  | 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: 3de7d8bcb7e66d419ed6d5d3c60b884e57857f1414c18370266a646dc4b2729f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38ab34656d84cd3674d4ff6ef5e241f57e753250f3b658165833317eed1b0ef3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-25T22:20:11Z",
    "title_canon_sha256": "e77e4f0bf006a909ce836d166e12a52a17b015524db450c24103c9f38e72e2a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5210",
    "kind": "arxiv",
    "version": 1
  }
}