Pith Number

pith:5OAZV2WJ

pith:2014:5OAZV2WJHEUPTOLLFN3A5QTP32

not attested not anchored not stored refs pending

Lipschitz contact equivalence of function germs in $\mathbb{R}^2$

Alexandre Fernandes, Andrei Gabrielov, Lev Birbrair, Vincent Grandjean

arxiv:1406.2559 v2 · 2014-06-10 · 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{5OAZV2WJHEUPTOLLFN3A5QTP32}

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	2026-05-18T02:48:00.510089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb819aeac93928f9b96b2b760ec26fdebd7dfe938e2eb11791e364ff5348f6ef

Aliases

arxiv: 1406.2559 · arxiv_version: 1406.2559v2 · doi: 10.48550/arxiv.1406.2559 · pith_short_12: 5OAZV2WJHEUP · pith_short_16: 5OAZV2WJHEUPTOLL · pith_short_8: 5OAZV2WJ

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/5OAZV2WJHEUPTOLLFN3A5QTP32 \
  | 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: eb819aeac93928f9b96b2b760ec26fdebd7dfe938e2eb11791e364ff5348f6ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49f63f1fb6b78a80724af74662c5eb43373a1ac11dc2d921df3e92996ebb79ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-06-10T14:01:30Z",
    "title_canon_sha256": "7f180eb2f411942ce4c6fd3af7e30c6ac122b0178a3e0d41db19aab04fcdab84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2559",
    "kind": "arxiv",
    "version": 2
  }
}