Pith Number

pith:RJEF26RG

pith:2012:RJEF26RGDG7P5PQQMQ67UJ3D6K

not attested not anchored not stored refs pending

Behavior of Welschinger Invariants under Morse Simplifications

Erwan Brugall\'e, Nicolas Puignau

arxiv:1203.2773 v2 · 2012-03-13 · 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{RJEF26RGDG7P5PQQMQ67UJ3D6K}

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	2026-05-18T03:51:23.450779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a485d7a2619befebe10643dfa2763f2add013a737efdfe529ec8d911dec1336

Aliases

arxiv: 1203.2773 · arxiv_version: 1203.2773v2 · doi: 10.48550/arxiv.1203.2773 · pith_short_12: RJEF26RGDG7P · pith_short_16: RJEF26RGDG7P5PQQ · pith_short_8: RJEF26RG

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/RJEF26RGDG7P5PQQMQ67UJ3D6K \
  | 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: 8a485d7a2619befebe10643dfa2763f2add013a737efdfe529ec8d911dec1336

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fbad15bb05cef97cda0f5cce2c79680f10a50dcd1bb4335a07b603901820a92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-13T11:30:18Z",
    "title_canon_sha256": "321ce44d93630bc03c6baa39f6ad74c705bdb3012088940fbafd672329a9137a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2773",
    "kind": "arxiv",
    "version": 2
  }
}