Pith Number

pith:47XLSWFZ

pith:2005:47XLSWFZTVKGGPJHBLDEO5LWFH

not attested not anchored not stored refs pending

Enumerative invariants of stongly semipositive real symplectic six-manifolds

Jean-Yves Welschinger (UMPA-ENSL)

arxiv:math/0509121 v2 · 2005-09-06 · 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{47XLSWFZTVKGGPJHBLDEO5LWFH}

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.

Cited by

1 paper in Pith

Receipt and verification

First computed	2026-07-04T15:04:16.584283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7eeb958b99d54633d270ac647757629f588c3a643978fa00485b08e00e1d3d9

Aliases

arxiv: math/0509121 · arxiv_version: math/0509121v2 · doi: 10.48550/arxiv.math/0509121 · pith_short_12: 47XLSWFZTVKG · pith_short_16: 47XLSWFZTVKGGPJH · pith_short_8: 47XLSWFZ

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/47XLSWFZTVKGGPJHBLDEO5LWFH \
  | 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: e7eeb958b99d54633d270ac647757629f588c3a643978fa00485b08e00e1d3d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03ff5613abe61d91b469ae6f72e4b8adf17a65a5108b9911751c03c0997c7064",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-09-06T14:29:26Z",
    "title_canon_sha256": "abba66d3608118ba4544426dbd6670058f920af21267da8d838c73c44a753e38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509121",
    "kind": "arxiv",
    "version": 2
  }
}