Pith Number

pith:P45N7OUS

pith:2000:P45N7OUSTCLNNISR7C76GZQFJP

not attested not anchored not stored refs pending

Symplectic geometry on moduli spaces of holomorphic bundles over complex surfaces

Alexei Rosly, Boris Khesin

arxiv:math/0009013 v1 · 2000-09-01 · math.AG · hep-th · math.DG · 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{P45N7OUSTCLNNISR7C76GZQFJP}

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	2026-07-04T15:23:18.679358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f3adfba929896d6a251f8bfe366054bd2f2b36a04a813a682f835de1fba1eeb

Aliases

arxiv: math/0009013 · arxiv_version: math/0009013v1 · doi: 10.48550/arxiv.math/0009013 · pith_short_12: P45N7OUSTCLN · pith_short_16: P45N7OUSTCLNNISR · pith_short_8: P45N7OUS

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/P45N7OUSTCLNNISR7C76GZQFJP \
  | 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: 7f3adfba929896d6a251f8bfe366054bd2f2b36a04a813a682f835de1fba1eeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0fac468234f37887e39feb8f370a2448b7e09cb72d2b3f9a8a3d153decfa09a",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-09-01T16:17:24Z",
    "title_canon_sha256": "af8b7b37139a958fe6e9f4faf840ecc4c9b02c06311b570d4074448f0dfdd28b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0009013",
    "kind": "arxiv",
    "version": 1
  }
}