Pith Number

pith:L67X3LSM

pith:2011:L67X3LSMMGPXAEIWBDHGY5R3ST

not attested not anchored not stored refs pending

Good Gradings of Generalized Incidence Rings

Kenneth L. Price

arxiv:1108.3355 v1 · 2011-08-16 · 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{L67X3LSMMGPXAEIWBDHGY5R3ST}

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	2026-05-18T04:15:18.228996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fbf7dae4c619f70111608ce6c763b94efbe3dc258d8213182d91e8ce6498c9f

Aliases

arxiv: 1108.3355 · arxiv_version: 1108.3355v1 · doi: 10.48550/arxiv.1108.3355 · pith_short_12: L67X3LSMMGPX · pith_short_16: L67X3LSMMGPXAEIW · pith_short_8: L67X3LSM

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/L67X3LSMMGPXAEIWBDHGY5R3ST \
  | 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: 5fbf7dae4c619f70111608ce6c763b94efbe3dc258d8213182d91e8ce6498c9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05cf1d3d4ae72f4cbdda2ec43e51c16cd2fccb77c781ead0d83ca5cbe85e925a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-08-16T21:08:08Z",
    "title_canon_sha256": "1197eea7516179f5d985d1152818ff0f2cf57a93c52e1f58103a8af0b3a34168"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3355",
    "kind": "arxiv",
    "version": 1
  }
}