Pith Number

pith:6AUTKO63

pith:2017:6AUTKO63BLNOANR6C3N5D27B7R

not attested not anchored not stored refs pending

A short proof that equisingular plane curve singularities are topologically equivalent

Justyna Walewska, Szymon Brzostowski, Tadeusz Krasi\'nski

arxiv:1712.01559 v1 · 2017-12-05 · 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{6AUTKO63BLNOANR6C3N5D27B7R}

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	2026-05-18T00:28:50.333667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f029353bdb0adae0363e16dbd1ebe1fc6ed3a3bdc737aa6bdd3d9c9b6fcb3f1b

Aliases

arxiv: 1712.01559 · arxiv_version: 1712.01559v1 · doi: 10.48550/arxiv.1712.01559 · pith_short_12: 6AUTKO63BLNO · pith_short_16: 6AUTKO63BLNOANR6 · pith_short_8: 6AUTKO63

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/6AUTKO63BLNOANR6C3N5D27B7R \
  | 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: f029353bdb0adae0363e16dbd1ebe1fc6ed3a3bdc737aa6bdd3d9c9b6fcb3f1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cf2c0f25997bf086df93dc7742b450ee8be5f8d9c5f6a7d403e6fd3237846f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-05T10:24:00Z",
    "title_canon_sha256": "2b7758698dbfa233f348d43f925f3c0c66b66a07ca2cd28c8606ac5606cd58fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01559",
    "kind": "arxiv",
    "version": 1
  }
}