Pith Number

pith:MI4L4ZR6

pith:2011:MI4L4ZR66XQOM6KQUPPN4T4STC

not attested not anchored not stored refs pending

Extensions of multiply twisted pluri-canonical forms

Chen-Yu Chi, Chin-Lung Wang, Sz-Sheng Wang

arxiv:1101.2077 v2 · 2011-01-11 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MI4L4ZR66XQOM6KQUPPN4T4STC}

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	2026-05-18T04:11:28.857694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6238be663ef5e0e67950a3dede4f9298b0518ccbeddab9e36d75f2e348870f84

Aliases

arxiv: 1101.2077 · arxiv_version: 1101.2077v2 · doi: 10.48550/arxiv.1101.2077 · pith_short_12: MI4L4ZR66XQO · pith_short_16: MI4L4ZR66XQOM6KQ · pith_short_8: MI4L4ZR6

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/MI4L4ZR66XQOM6KQUPPN4T4STC \
  | 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: 6238be663ef5e0e67950a3dede4f9298b0518ccbeddab9e36d75f2e348870f84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "106e00144979c185af8701b8f702b528b8e17885a64b126e9c77b9f881239741",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-11T09:36:34Z",
    "title_canon_sha256": "36c62d7c1e76ae6b5e122c329f8c91db5ad6dc50f5e37a5bf81a1d6cb8415148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2077",
    "kind": "arxiv",
    "version": 2
  }
}