Pith Number

pith:N5CTQTZA

pith:2013:N5CTQTZAX2AHMHRCFV2D747NAN

not attested not anchored not stored refs pending

Closure operators on algebras

Agata Pilitowska, Anna Zamojska-Dzienio

arxiv:1310.6021 v2 · 2013-10-22 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N5CTQTZAX2AHMHRCFV2D747NAN}

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	2026-05-18T01:35:16.798107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f45384f20be80761e222d743ff3ed0344ab15d8c9975ff3b266c648f5fbdba0

Aliases

arxiv: 1310.6021 · arxiv_version: 1310.6021v2 · doi: 10.48550/arxiv.1310.6021 · pith_short_12: N5CTQTZAX2AH · pith_short_16: N5CTQTZAX2AHMHRC · pith_short_8: N5CTQTZA

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/N5CTQTZAX2AHMHRCFV2D747NAN \
  | 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: 6f45384f20be80761e222d743ff3ed0344ab15d8c9975ff3b266c648f5fbdba0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77ac430f2c1d763315da1bc53f3d011bc00ad6952ca36e345943e1ef0df79151",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-10-22T19:45:30Z",
    "title_canon_sha256": "694678d9c014c067783d925cd9edbaf4ac810a085a944d57123b398836d88749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6021",
    "kind": "arxiv",
    "version": 2
  }
}