Pith Number

pith:L5B3WRGV

pith:2017:L5B3WRGVR66NX5MFH2V5UTG3YO

not attested not anchored not stored refs pending

Ambient Lipschitz equivalence of real surface singularities

Andrei Gabrielov, Lev Birbrair

arxiv:1707.04951 v2 · 2017-07-16 · 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{L5B3WRGVR66NX5MFH2V5UTG3YO}

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	2026-05-18T00:32:50.408753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f43bb44d58fbcdbf5853eabda4cdbc39e404bee94b001b40928dd0fcae94b69

Aliases

arxiv: 1707.04951 · arxiv_version: 1707.04951v2 · doi: 10.48550/arxiv.1707.04951 · pith_short_12: L5B3WRGVR66N · pith_short_16: L5B3WRGVR66NX5MF · pith_short_8: L5B3WRGV

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/L5B3WRGVR66NX5MFH2V5UTG3YO \
  | 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: 5f43bb44d58fbcdbf5853eabda4cdbc39e404bee94b001b40928dd0fcae94b69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5cd77ffc1507f36511151a963327a6516017daa9da0b9882ad59ec464edc2b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-16T21:46:14Z",
    "title_canon_sha256": "8de72b7f2fee9439fa797db1d8fb4c2993f3a1a9694682478dc69e1433d7c6ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04951",
    "kind": "arxiv",
    "version": 2
  }
}