Pith Number

pith:W26SZMTI

pith:2005:W26SZMTIEA2VH7AIAWTAAWQCTH

not attested not anchored not stored refs pending

The structures of a class of $Z$-local rings

Dancheng Lu, Tongsuo Wu

arxiv:math/0512566 v1 · 2005-12-26 · math.RA · 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{W26SZMTIEA2VH7AIAWTAAWQCTH}

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	2026-05-18T00:17:47.710939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6bd2cb268203553fc0805a6005a0299d5e97e3584d00ef6fc71e82640bca699

Aliases

arxiv: math/0512566 · arxiv_version: math/0512566v1 · doi: 10.48550/arxiv.math/0512566 · pith_short_12: W26SZMTIEA2V · pith_short_16: W26SZMTIEA2VH7AI · pith_short_8: W26SZMTI

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/W26SZMTIEA2VH7AIAWTAAWQCTH \
  | 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: b6bd2cb268203553fc0805a6005a0299d5e97e3584d00ef6fc71e82640bca699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c3aaab7b4e1efefb068c3eb6dbad4e5f3b6d1b154830ed9a40e9ad9bc1c10fd",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2005-12-26T07:17:41Z",
    "title_canon_sha256": "4582f388fbd4024d2311a4a22831374c6b8e9fb12e8fd36d88371f6b099f73b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512566",
    "kind": "arxiv",
    "version": 1
  }
}