Pith Number

pith:I3CXKZS2

pith:2023:I3CXKZS22IE26CE7U4736LE35A

not attested not anchored not stored refs pending

Relative Lipschitz saturation of complex algebraic varieties

Fran\c{c}ois Bernard (UPCit\'e)

arxiv:2312.14517 v2 · 2023-12-22 · 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{I3CXKZS22IE26CE7U4736LE35A}

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.

Cited by

1 paper in Pith

Monomial algebraic and algebroid curves and their Lipschitz saturation over the ground ring

Receipt and verification

First computed	2026-07-05T08:36:21.270746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46c575665ad209af089fa73fbf2c9be837e30f511b2614cb59f73e5e3e546677

Aliases

arxiv: 2312.14517 · arxiv_version: 2312.14517v2 · doi: 10.48550/arxiv.2312.14517 · pith_short_12: I3CXKZS22IE2 · pith_short_16: I3CXKZS22IE26CE7 · pith_short_8: I3CXKZS2

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/I3CXKZS22IE26CE7U4736LE35A \
  | 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: 46c575665ad209af089fa73fbf2c9be837e30f511b2614cb59f73e5e3e546677

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41af4f41f8a79545b182cd8ac67789eacfd176779e8ef8ef504f0769d58bd2f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-12-22T08:26:42Z",
    "title_canon_sha256": "fa83e705d5ac7107d3b169d3ee73fe66cd6a9cd83a4db65be278fc2552c19422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.14517",
    "kind": "arxiv",
    "version": 2
  }
}