Pith Number

pith:S52IJLBB

pith:2016:S52IJLBBPPLHFA5SJT47PDRHMH

not attested not anchored not stored refs pending

Surgery of real symplectic fourfolds and Welschinger invariants

Erwan Brugall\'e

arxiv:1601.05708 v3 · 2016-01-21 · 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{S52IJLBBPPLHFA5SJT47PDRHMH}

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	2026-05-18T00:07:51.238602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

977484ac217bd67283b24cf9f78e2761f2036380aeb70273a9ce1f2d888ca0d2

Aliases

arxiv: 1601.05708 · arxiv_version: 1601.05708v3 · doi: 10.48550/arxiv.1601.05708 · pith_short_12: S52IJLBBPPLH · pith_short_16: S52IJLBBPPLHFA5S · pith_short_8: S52IJLBB

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/S52IJLBBPPLHFA5SJT47PDRHMH \
  | 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: 977484ac217bd67283b24cf9f78e2761f2036380aeb70273a9ce1f2d888ca0d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84af33b6a7e334b5e677c0cd98e324f3f92dce7cb72129114f5108b3691a896a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-01-21T16:56:32Z",
    "title_canon_sha256": "fcfcb6a304a5bd25f7b2072a813401edc58c9a245b5440dce3cae67853ca5b7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05708",
    "kind": "arxiv",
    "version": 3
  }
}