Pith Number

pith:L5OXZN2M

pith:2011:L5OXZN2MKZQH6QAMH5BQD24AQD

not attested not anchored not stored refs pending

The Homology Groups of a Partial Trace Monoid Action

Ahmet A. Husainov

arxiv:1111.0854 v1 · 2011-11-03 · math.AT · cs.MA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5OXZN2MKZQH6QAMH5BQD24AQD}

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	2026-05-18T04:09:36.829422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5d7cb74c56607f400c3f4301eb8080f3abb019ec1a33b7df1ed1ab5faaa727

Aliases

arxiv: 1111.0854 · arxiv_version: 1111.0854v1 · doi: 10.48550/arxiv.1111.0854 · pith_short_12: L5OXZN2MKZQH · pith_short_16: L5OXZN2MKZQH6QAM · pith_short_8: L5OXZN2M

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/L5OXZN2MKZQH6QAMH5BQD24AQD \
  | 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: 5f5d7cb74c56607f400c3f4301eb8080f3abb019ec1a33b7df1ed1ab5faaa727

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "806421c8f2238a42317a7ca508d7a1f62e88171c1a5b13c2971079965d1c5eb9",
    "cross_cats_sorted": [
      "cs.MA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-11-03T14:38:22Z",
    "title_canon_sha256": "9c9b51d9e882988097ff8dd9369a0925adc81da99f3d14003857a8ae6b4bf596"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0854",
    "kind": "arxiv",
    "version": 1
  }
}