Pith Number

pith:OJX6UF5F

pith:2010:OJX6UF5FZ4GKEMDJ4NDBB526MC

not attested not anchored not stored refs pending

On the Local structure theorem and equivariant geometry of cotangent bundles

Vladimir S. Zhgoon

arxiv:1001.1421 v3 · 2010-01-09 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OJX6UF5FZ4GKEMDJ4NDBB526MC}

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	2026-05-18T04:13:05.830831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

726fea17a5cf0ca23069e34610f75e60a24bb8940dee488da998819b830774cf

Aliases

arxiv: 1001.1421 · arxiv_version: 1001.1421v3 · doi: 10.48550/arxiv.1001.1421 · pith_short_12: OJX6UF5FZ4GK · pith_short_16: OJX6UF5FZ4GKEMDJ · pith_short_8: OJX6UF5F

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/OJX6UF5FZ4GKEMDJ4NDBB526MC \
  | 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: 726fea17a5cf0ca23069e34610f75e60a24bb8940dee488da998819b830774cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cf92fd2d3a0cc3446852462b104e453d3fe8eb9c2b43f4a21e35767b389783f",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-01-09T12:39:58Z",
    "title_canon_sha256": "365264769fcce3e11d00ff9fffee33c3abc2ce9bb4f7e5b36d1cac1e8edfc61a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1421",
    "kind": "arxiv",
    "version": 3
  }
}