Pith Number

pith:3SY7KOVN

pith:2019:3SY7KOVNH4L57YHUWLPXVEEF4X

not attested not anchored not stored refs pending

Jordan-H\"older with uniqueness for semimodular semilattices

Pavel Pat\'ak

arxiv:1908.09912 v2 · 2019-08-26 · 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{3SY7KOVNH4L57YHUWLPXVEEF4X}

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.

Cited by

1 paper in Pith

Beginning with You: Perceptual-Initialization Improves Vision-Language Representation and Alignment

Receipt and verification

First computed	2026-07-05T00:05:35.273376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcb1f53aad3f17dfe0f4b2df7a9085e5c74487f47137476bb9b48e2d364c27f8

Aliases

arxiv: 1908.09912 · arxiv_version: 1908.09912v2 · doi: 10.48550/arxiv.1908.09912 · pith_short_12: 3SY7KOVNH4L5 · pith_short_16: 3SY7KOVNH4L57YHU · pith_short_8: 3SY7KOVN

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/3SY7KOVNH4L57YHUWLPXVEEF4X \
  | 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: dcb1f53aad3f17dfe0f4b2df7a9085e5c74487f47137476bb9b48e2d364c27f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08e60bb5a0650be0752dbdbc2edd91420688a672ae188eec2fc9ab6e944a85d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-26T20:39:40Z",
    "title_canon_sha256": "2fe06be3d790febbe82eeca4623b1206fbed767437d878fa40815256eb321a90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09912",
    "kind": "arxiv",
    "version": 2
  }
}