Pith Number

pith:SGB6BXPI

pith:2010:SGB6BXPIS5RLPBYUFOHIXJ4XNH

not attested not anchored not stored refs pending

Symplectic generic complex structures on 4-manifolds with b_+ = 1

Dmitri Panov, Paolo Cascini

arxiv:1012.3644 v1 · 2010-12-16 · math.SG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SGB6BXPIS5RLPBYUFOHIXJ4XNH}

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	2026-05-18T04:33:06.030784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9183e0dde89762b787142b8e8ba79769d83231be81304f7fad730c6afceb337b

Aliases

arxiv: 1012.3644 · arxiv_version: 1012.3644v1 · doi: 10.48550/arxiv.1012.3644 · pith_short_12: SGB6BXPIS5RL · pith_short_16: SGB6BXPIS5RLPBYU · pith_short_8: SGB6BXPI

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/SGB6BXPIS5RLPBYUFOHIXJ4XNH \
  | 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: 9183e0dde89762b787142b8e8ba79769d83231be81304f7fad730c6afceb337b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b380318d4a4d4f7597cc2b0037de5e440aa79f698c2923d168d8acdc57b6d49d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-12-16T15:46:47Z",
    "title_canon_sha256": "60bba37d01ca976612b2b42ac07a4798464938d89d3aa3d52c117a3234b6deb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3644",
    "kind": "arxiv",
    "version": 1
  }
}