Pith Number

pith:MXOU5CZE

pith:2010:MXOU5CZECYLIKBWCRNTSNDPIV6

not attested not anchored not stored refs pending

An Axiomatic Setup for Algorithmic Homological Algebra and an Alternative Approach to Localization

Markus Lange-Hegermann, Mohamed Barakat

arxiv:1003.1943 v5 · 2010-03-09 · 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{MXOU5CZECYLIKBWCRNTSNDPIV6}

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	2026-05-18T00:31:59.208681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65dd4e8b2416168506c28b67268de8afa3a20b309f0293a33a689266722a49e9

Aliases

arxiv: 1003.1943 · arxiv_version: 1003.1943v5 · doi: 10.48550/arxiv.1003.1943 · pith_short_12: MXOU5CZECYLI · pith_short_16: MXOU5CZECYLIKBWC · pith_short_8: MXOU5CZE

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/MXOU5CZECYLIKBWCRNTSNDPIV6 \
  | 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: 65dd4e8b2416168506c28b67268de8afa3a20b309f0293a33a689266722a49e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b39959e9d629447f4dbed87856079d5d622c58746cd933b6413ef83e82fde681",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-03-09T18:08:10Z",
    "title_canon_sha256": "ef002247fbd1bea29522de6595cce10b11c122d90822bdfe266527aa3704b12b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1943",
    "kind": "arxiv",
    "version": 5
  }
}