Pith Number

pith:PMWFZB45

pith:2014:PMWFZB45WRPI6JATETEP7KZA36

not attested not anchored not stored refs pending

Equisingularity in one parameter families of generically reduced curves

Javier Fern\'andez de Bobadilla, Jawad Snoussi, Mark Spivakovsky

arxiv:1405.6760 v1 · 2014-05-27 · 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{PMWFZB45WRPI6JATETEP7KZA36}

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	2026-05-18T02:51:00.393186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b2c5c879db45e8f241324c8ffab20df935ec541851e2950f7ce740db7a93b6a

Aliases

arxiv: 1405.6760 · arxiv_version: 1405.6760v1 · doi: 10.48550/arxiv.1405.6760 · pith_short_12: PMWFZB45WRPI · pith_short_16: PMWFZB45WRPI6JAT · pith_short_8: PMWFZB45

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/PMWFZB45WRPI6JATETEP7KZA36 \
  | 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: 7b2c5c879db45e8f241324c8ffab20df935ec541851e2950f7ce740db7a93b6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d508537e2eee59ed80b82467c6cad71ca4d014e61ec212700a93e8da98068cee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-05-27T00:07:02Z",
    "title_canon_sha256": "98fbd1171d67efcd2467dbfc9abe89b7568dd4569df49a5960dfb28c2b42b701"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6760",
    "kind": "arxiv",
    "version": 1
  }
}