Pith Number

pith:BCSQ4TPK

pith:2010:BCSQ4TPKK6753URTZ7TTBR3L2P

not attested not anchored not stored refs pending

Factorially graded rings of complexity one

Elaine Herppich, Juergen Hausen

arxiv:1005.4194 v3 · 2010-05-23 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCSQ4TPKK6753URTZ7TTBR3L2P}

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	2026-05-18T03:25:46.832861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08a50e4dea57bfddd233cfe730c76bd3dba2d41308470c74c2507215ca4e4727

Aliases

arxiv: 1005.4194 · arxiv_version: 1005.4194v3 · doi: 10.48550/arxiv.1005.4194 · pith_short_12: BCSQ4TPKK675 · pith_short_16: BCSQ4TPKK6753URT · pith_short_8: BCSQ4TPK

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/BCSQ4TPKK6753URTZ7TTBR3L2P \
  | 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: 08a50e4dea57bfddd233cfe730c76bd3dba2d41308470c74c2507215ca4e4727

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0401cfde03334bc8b15de053f14772bae380cd3e77c397b6a9be0773f6421a33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-23T12:03:16Z",
    "title_canon_sha256": "68910afaaf10c6eed33d29396d7ff36442470afca5d6bd57e2f0476160da83eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4194",
    "kind": "arxiv",
    "version": 3
  }
}