Pith Number

pith:UPDHAK5G

pith:2010:UPDHAK5GMQD56TNVLZEERDDHAU

not attested not anchored not stored refs pending

Finite atomic lattices and resolutions of monomial ideals

Sonja Mapes

arxiv:1009.1430 v1 · 2010-09-08 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPDHAK5GMQD56TNVLZEERDDHAU}

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	2026-05-18T04:41:14.806086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3c6702ba66407df4db55e48488c6705175908ed00f5e093e427169ac915c176

Aliases

arxiv: 1009.1430 · arxiv_version: 1009.1430v1 · doi: 10.48550/arxiv.1009.1430 · pith_short_12: UPDHAK5GMQD5 · pith_short_16: UPDHAK5GMQD56TNV · pith_short_8: UPDHAK5G

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/UPDHAK5GMQD56TNVLZEERDDHAU \
  | 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: a3c6702ba66407df4db55e48488c6705175908ed00f5e093e427169ac915c176

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e043c998084c30b817a969a97e814760ee315532a86e3cb433c6586d4d9e3bef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-09-08T00:56:29Z",
    "title_canon_sha256": "1f90eff85faaf46be1ff27f4133bd422a1eb45468c7bdbd8fbcc0123e68c612d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1430",
    "kind": "arxiv",
    "version": 1
  }
}