Pith Number

pith:GW6SD5GT

pith:2017:GW6SD5GTSPGOMLWHN57JJAALVU

not attested not anchored not stored refs pending

Tight embedding of modular lattices into partition lattices: progress and program

Marcel Wild

arxiv:1704.03715 v4 · 2017-04-12 · 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{GW6SD5GTSPGOMLWHN57JJAALVU}

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	2026-05-18T00:03:29.711888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35bd21f4d393cce62ec76f7e94800bad102a822ffa69fb992145a388d0633b76

Aliases

arxiv: 1704.03715 · arxiv_version: 1704.03715v4 · doi: 10.48550/arxiv.1704.03715 · pith_short_12: GW6SD5GTSPGO · pith_short_16: GW6SD5GTSPGOMLWH · pith_short_8: GW6SD5GT

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/GW6SD5GTSPGOMLWHN57JJAALVU \
  | 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: 35bd21f4d393cce62ec76f7e94800bad102a822ffa69fb992145a388d0633b76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8989ac130640e5a547a41f1bccec6e4b3ea1139dc81d7aa1261b052e68ce550d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-12T11:49:42Z",
    "title_canon_sha256": "e31c12763616c3011572aa9eff5fa78e36ffc4b6749734e5f7b1a1926ce10d84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03715",
    "kind": "arxiv",
    "version": 4
  }
}