Pith Number

pith:ZEL44P27

pith:2017:ZEL44P276NQ66XPPOMY4O4AFZ7

not attested not anchored not stored refs pending

Whitney, Kuo-Verdier and Lipschitz stratifications for the surfaces y^a = t^b x^c +x^d

David Trotman, Dwi Juniati, Laurent Noirel

arxiv:1701.05102 v1 · 2017-01-18 · 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{ZEL44P276NQ66XPPOMY4O4AFZ7}

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	2026-05-18T00:52:33.175701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c917ce3f5ff361ef5def7331c77005cfeaa1496659a69d29a026700614c1f518

Aliases

arxiv: 1701.05102 · arxiv_version: 1701.05102v1 · doi: 10.48550/arxiv.1701.05102 · pith_short_12: ZEL44P276NQ6 · pith_short_16: ZEL44P276NQ66XPP · pith_short_8: ZEL44P27

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/ZEL44P276NQ66XPPOMY4O4AFZ7 \
  | 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: c917ce3f5ff361ef5def7331c77005cfeaa1496659a69d29a026700614c1f518

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c952a4373bcecf3f2834e637a0505775a03e7784ff13399a3a8ddc5af4a008c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-18T15:28:27Z",
    "title_canon_sha256": "a9781aba85513b758d26283aa4a73ddf7d8ad23f7839f459de782882daea4dde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05102",
    "kind": "arxiv",
    "version": 1
  }
}