Pith Number

pith:VGLCJ323

pith:2011:VGLCJ323CPSY6KSIJIUHX6GC3Z

not attested not anchored not stored refs pending

Lifting finite self maps of equicharacteristic complete local rings

Lucien Szpiro, Mahdi Majidi-Zolbanin, Nikita Miasnikov

arxiv:1105.1849 v1 · 2011-05-10 · math.AC · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGLCJ323CPSY6KSIJIUHX6GC3Z}

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	2026-05-18T04:22:10.767953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a99624ef5b13e58f2a484a287bf8c2de52b2c7334cac797e878a6561fe545187

Aliases

arxiv: 1105.1849 · arxiv_version: 1105.1849v1 · doi: 10.48550/arxiv.1105.1849 · pith_short_12: VGLCJ323CPSY · pith_short_16: VGLCJ323CPSY6KSI · pith_short_8: VGLCJ323

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/VGLCJ323CPSY6KSIJIUHX6GC3Z \
  | 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: a99624ef5b13e58f2a484a287bf8c2de52b2c7334cac797e878a6561fe545187

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40fbc9818ec89216cf01b1f50e25bfa343c4e0f54f813f519f8957021a04d2f4",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-05-10T03:46:14Z",
    "title_canon_sha256": "e914416c58c9d0ec7e5e97eb96cabd6ce2bd8155f067f6167354c992cb416916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1849",
    "kind": "arxiv",
    "version": 1
  }
}