Pith Number

pith:ZNN7H33J

pith:2011:ZNN7H33JEU3QEGQTTTDUQFDQW2

not attested not anchored not stored refs pending

The Cubical Homology of Trace Monoids

Ahmet A. Husainov

arxiv:1110.6293 v1 · 2011-10-28 · math.AT · cs.MA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNN7H33JEU3QEGQTTTDUQFDQW2}

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	2026-05-18T04:09:57.135335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb5bf3ef692537021a139cc7481470b68b9ed0f7f5e4a376a649ea2c15e2fdf4

Aliases

arxiv: 1110.6293 · arxiv_version: 1110.6293v1 · doi: 10.48550/arxiv.1110.6293 · pith_short_12: ZNN7H33JEU3Q · pith_short_16: ZNN7H33JEU3QEGQT · pith_short_8: ZNN7H33J

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/ZNN7H33JEU3QEGQTTTDUQFDQW2 \
  | 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: cb5bf3ef692537021a139cc7481470b68b9ed0f7f5e4a376a649ea2c15e2fdf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "336e99148ab910db16777f6a6d4ac508f193a5caa5d93b05343e43ec707e9ff9",
    "cross_cats_sorted": [
      "cs.MA",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-10-28T10:57:30Z",
    "title_canon_sha256": "f34d0f5e796697fb1d797ab3647658447e764f06ce3196a3bda2e1af86536b52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6293",
    "kind": "arxiv",
    "version": 1
  }
}