Pith Number

pith:KEHP7WDA

pith:2016:KEHP7WDA36EL2L6WUPX7JDIZED

not attested not anchored not stored refs pending

Criteria for singularities for mappings from two--manifold to the plane. The number and signs of cusps

Aleksandra Nowel, Iwona Krzy\.zanowska

arxiv:1604.07585 v1 · 2016-04-26 · 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{KEHP7WDA36EL2L6WUPX7JDIZED}

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	2026-05-18T01:16:19.431982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

510effd860df88bd2fd6a3eff48d1920dcb487a35b48e627bdd4c956fabc9657

Aliases

arxiv: 1604.07585 · arxiv_version: 1604.07585v1 · doi: 10.48550/arxiv.1604.07585 · pith_short_12: KEHP7WDA36EL · pith_short_16: KEHP7WDA36EL2L6W · pith_short_8: KEHP7WDA

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/KEHP7WDA36EL2L6WUPX7JDIZED \
  | 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: 510effd860df88bd2fd6a3eff48d1920dcb487a35b48e627bdd4c956fabc9657

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b7d1ae61551f321c787b7c9ede66eae6a6de9034ed771b910a357ff25c9a145",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-26T09:35:19Z",
    "title_canon_sha256": "a6e86846337ffa13d1d8e1f8696e0c7b98f7ec42e65d1a7423ad55a18fc34572"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07585",
    "kind": "arxiv",
    "version": 1
  }
}