Pith Number

pith:TW2FUBZD

pith:2008:TW2FUBZDVZDTKEEV76U26WBC2E

not attested not anchored not stored refs pending

Goldie Ranks of Skew Power Series Rings of Automorphic Type

Edward S. Letzter, Linhong Wang

arxiv:0812.2010 v3 · 2008-12-10 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TW2FUBZDVZDTKEEV76U26WBC2E}

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	2026-05-18T04:31:41.610869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9db45a0723ae47351095ffa9af5822d11631c0bb13eddc35b06a0925f040b205

Aliases

arxiv: 0812.2010 · arxiv_version: 0812.2010v3 · doi: 10.48550/arxiv.0812.2010 · pith_short_12: TW2FUBZDVZDT · pith_short_16: TW2FUBZDVZDTKEEV · pith_short_8: TW2FUBZD

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/TW2FUBZDVZDTKEEV76U26WBC2E \
  | 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: 9db45a0723ae47351095ffa9af5822d11631c0bb13eddc35b06a0925f040b205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "215c1f6f49aa47e61745eb0834513c72bb5e4fa4844707e3f45faa40fa275016",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-12-10T20:16:08Z",
    "title_canon_sha256": "80a1a9a3c6a500a160b6770599587757cd47a3241aacd713b57e86e7d3a85971"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2010",
    "kind": "arxiv",
    "version": 3
  }
}