Pith Number

pith:ENKMX3SQ

pith:2014:ENKMX3SQGWADKPFOJSCFWOPPBU

not attested not anchored not stored refs pending

Welschinger invariants revisited

Eugenii Shustin, Ilia Itenberg, Viatcheslav Kharlamov

arxiv:1409.3966 v2 · 2014-09-13 · 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{ENKMX3SQGWADKPFOJSCFWOPPBU}

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	2026-05-18T00:45:08.797774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2354cbee503580353cae4c845b39ef0d21da322eec08890c0cedafb39304a2bd

Aliases

arxiv: 1409.3966 · arxiv_version: 1409.3966v2 · doi: 10.48550/arxiv.1409.3966 · pith_short_12: ENKMX3SQGWAD · pith_short_16: ENKMX3SQGWADKPFO · pith_short_8: ENKMX3SQ

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/ENKMX3SQGWADKPFOJSCFWOPPBU \
  | 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: 2354cbee503580353cae4c845b39ef0d21da322eec08890c0cedafb39304a2bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85b2e352b59468ad429bc38130ad0affbd95c94b30eeabb3891482cfd3257b3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-13T16:54:27Z",
    "title_canon_sha256": "dbd1d260dc54df0493b113b4bc1475afba497998b2c515c334c33bc4da1ea342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3966",
    "kind": "arxiv",
    "version": 2
  }
}