Pith Number

pith:JZWJ7CYV

pith:2014:JZWJ7CYVSWQY2EA6DUTWXNFGFQ

not attested not anchored not stored refs pending

On Welschinger invariants of symplectic 4-manifolds

Erwan Brugalle, Nicolas Puignau

arxiv:1406.5969 v3 · 2014-06-23 · 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{JZWJ7CYVSWQY2EA6DUTWXNFGFQ}

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

Cosmological History of Flavour Deconstruction Models: Constraints from Monopole Production

Receipt and verification

First computed	2026-05-18T02:18:49.716209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e6c9f8b1595a18d101e1d276bb4a62c1cb8ef92453d49920baef2e7db05a6f3

Aliases

arxiv: 1406.5969 · arxiv_version: 1406.5969v3 · doi: 10.48550/arxiv.1406.5969 · pith_short_12: JZWJ7CYVSWQY · pith_short_16: JZWJ7CYVSWQY2EA6 · pith_short_8: JZWJ7CYV

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/JZWJ7CYVSWQY2EA6DUTWXNFGFQ \
  | 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: 4e6c9f8b1595a18d101e1d276bb4a62c1cb8ef92453d49920baef2e7db05a6f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddd1b61d233eb5250389084eef78808b3662b875be2d1ad4b929e3a60ba9764f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-06-23T16:23:56Z",
    "title_canon_sha256": "85ed8a234ae79fa538a228449c6cfa865b1fd7b06b130c3e2afb897997ebc6d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5969",
    "kind": "arxiv",
    "version": 3
  }
}