Pith Number

pith:HYCJE6VF

pith:2011:HYCJE6VFJSPM6UND55BLH2IA4K

not attested not anchored not stored refs pending

Structure of Zariski-closed algebras

Alexei Belov-Kanel, Louis H. Rowen, Uzi Vishne

arxiv:1109.4912 v1 · 2011-09-22 · 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{HYCJE6VFJSPM6UND55BLH2IA4K}

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	2026-05-18T04:12:32.680993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e04927aa54c9ecf51a3ef42b3e900e285504e9fa1e75dd13376b38fc0c75d77

Aliases

arxiv: 1109.4912 · arxiv_version: 1109.4912v1 · doi: 10.48550/arxiv.1109.4912 · pith_short_12: HYCJE6VFJSPM · pith_short_16: HYCJE6VFJSPM6UND · pith_short_8: HYCJE6VF

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/HYCJE6VFJSPM6UND55BLH2IA4K \
  | 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: 3e04927aa54c9ecf51a3ef42b3e900e285504e9fa1e75dd13376b38fc0c75d77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d11dca2dd3cd0456566d3748a83aca90e833ea74124c4238115c2ff65613ad7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-09-22T18:48:09Z",
    "title_canon_sha256": "f2079ead70ee52b5a46b35b202956c3a22a6deab61016732fc2fa29afdada78c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4912",
    "kind": "arxiv",
    "version": 1
  }
}