Pith Number

pith:UJHFUCPH

pith:2013:UJHFUCPHBEVQSNVZHBLAYZTHGL

not attested not anchored not stored refs pending

On Topological Lattices and an Application to First Submodules

Christian Lomp, Jawad Abuhlail

arxiv:1305.4578 v1 · 2013-05-20 · math.RA · math.AC · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJHFUCPHBEVQSNVZHBLAYZTHGL}

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	2026-05-18T01:04:41.913359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a24e5a09e7092b0936b938560c666732fa09095fbb989873326a833a01e71b9d

Aliases

arxiv: 1305.4578 · arxiv_version: 1305.4578v1 · doi: 10.48550/arxiv.1305.4578 · pith_short_12: UJHFUCPHBEVQ · pith_short_16: UJHFUCPHBEVQSNVZ · pith_short_8: UJHFUCPH

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/UJHFUCPHBEVQSNVZHBLAYZTHGL \
  | 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: a24e5a09e7092b0936b938560c666732fa09095fbb989873326a833a01e71b9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eba042dc2b402e576d350e15639f54a3246e92e334c8e1e79819e82b1076d25d",
    "cross_cats_sorted": [
      "math.AC",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-05-20T17:13:17Z",
    "title_canon_sha256": "e03d3b39c6187eb579fe54e0719da08ee22a7863e8b66a9baae714e6637e4f1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4578",
    "kind": "arxiv",
    "version": 1
  }
}