Pith Number

pith:WZJTYZPM

pith:2011:WZJTYZPMRHW22W4O2ZI4XOGVY5

not attested not anchored not stored refs pending

Balance with Unbounded Complexes

Alina Iacob, Edgar E. Enochs, Sergio Estrada

arxiv:1108.1100 v1 · 2011-08-04 · 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{WZJTYZPMRHW22W4O2ZI4XOGVY5}

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	2026-05-18T02:58:00.681032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6533c65ec89edad5b8ed651cbb8d5c75349f8b9ae959f2f00e958f9d42b3b75

Aliases

arxiv: 1108.1100 · arxiv_version: 1108.1100v1 · doi: 10.48550/arxiv.1108.1100 · pith_short_12: WZJTYZPMRHW2 · pith_short_16: WZJTYZPMRHW22W4O · pith_short_8: WZJTYZPM

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/WZJTYZPMRHW22W4O2ZI4XOGVY5 \
  | 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: b6533c65ec89edad5b8ed651cbb8d5c75349f8b9ae959f2f00e958f9d42b3b75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bf385a6e47af35e3a8c7b5ac840fb6bcbf90e13f844e3fae177c57793567133",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-08-04T14:29:23Z",
    "title_canon_sha256": "71eac75d28376804fe512d879d5b6de5ba1b1a39526dd5b910e6c1d9d3fca34f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1100",
    "kind": "arxiv",
    "version": 1
  }
}