Pith Number

pith:PMQWMLXR

pith:2010:PMQWMLXRSHUH6BJRJXRMCKQU7D

not attested not anchored not stored refs pending

2-Modules and the Representation of 2-Rings

Fang Huang, Shao-Han Chen, Wei Chen, Zhu-Jun Zheng

arxiv:1005.2831 v2 · 2010-05-17 · math.CT · math-ph · math.AG · math.KT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMQWMLXRSHUH6BJRJXRMCKQU7D}

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	2026-05-18T02:23:59.406087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b21662ef191e87f05314de2c12a14f8d4f7c6fc97ef5b049aba0e77fad30556

Aliases

arxiv: 1005.2831 · arxiv_version: 1005.2831v2 · doi: 10.48550/arxiv.1005.2831 · pith_short_12: PMQWMLXRSHUH · pith_short_16: PMQWMLXRSHUH6BJR · pith_short_8: PMQWMLXR

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/PMQWMLXRSHUH6BJRJXRMCKQU7D \
  | 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: 7b21662ef191e87f05314de2c12a14f8d4f7c6fc97ef5b049aba0e77fad30556

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1974ec47ddf9a7b99583d1e10cfa110fd4e92b64ea4631a71dc9ece41c6112f0",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.KT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-05-17T08:15:54Z",
    "title_canon_sha256": "023a377c36ccf857888e67d0d1d99a7f814262a33e78b24e923dd9bc91d54259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2831",
    "kind": "arxiv",
    "version": 2
  }
}