Pith Number

pith:HO2C3WVN

pith:2010:HO2C3WVNGGRLA5OXDJZWWYY6BR

not attested not anchored not stored refs pending

On Auslander-Type Conditions of Modules

Zhaoyong Huang

arxiv:1012.1703 v2 · 2010-12-08 · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HO2C3WVNGGRLA5OXDJZWWYY6BR}

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	2026-05-18T02:56:04.184166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bb42ddaad31a2b075d71a736b631e0c6977aabd58218060ae395fc1d1e08d96

Aliases

arxiv: 1012.1703 · arxiv_version: 1012.1703v2 · doi: 10.48550/arxiv.1012.1703 · pith_short_12: HO2C3WVNGGRL · pith_short_16: HO2C3WVNGGRLA5OX · pith_short_8: HO2C3WVN

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/HO2C3WVNGGRLA5OXDJZWWYY6BR \
  | 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: 3bb42ddaad31a2b075d71a736b631e0c6977aabd58218060ae395fc1d1e08d96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c78186955ef14c7ce5ed1e053ea598220e314d8b8434e95cc1cefff342928b08",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-12-08T08:22:36Z",
    "title_canon_sha256": "a90a97087f57028084c5c1ede1c6ae292e68d0bb20080933b5cf3609045db730"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1703",
    "kind": "arxiv",
    "version": 2
  }
}