Pith Number

pith:TBX3DPHW

pith:2003:TBX3DPHWXFG7XV2CPINNGS6SQE

not attested not anchored not stored refs pending

Contact boundaries of hypersurface singularities and of complex polynomials

C. Caubel, M. Tibar

arxiv:math/0302057 v1 · 2003-02-05 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBX3DPHWXFG7XV2CPINNGS6SQE}

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	2026-05-18T00:33:28.170752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

986fb1bcf6b94dfbd7427a1ad34bd2813055db756d934063a166c70834cfd4a7

Aliases

arxiv: math/0302057 · arxiv_version: math/0302057v1 · doi: 10.48550/arxiv.math/0302057 · pith_short_12: TBX3DPHWXFG7 · pith_short_16: TBX3DPHWXFG7XV2C · pith_short_8: TBX3DPHW

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/TBX3DPHWXFG7XV2CPINNGS6SQE \
  | 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: 986fb1bcf6b94dfbd7427a1ad34bd2813055db756d934063a166c70834cfd4a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4f191a6d21bbb9dec994aa618004fd6a2e6d1faab360cdc4fcc34a657aeafbf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2003-02-05T22:16:51Z",
    "title_canon_sha256": "a62e3f10875e391d298b452d793c566f72fd4236bc46d7dd2232a39ebc843dbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0302057",
    "kind": "arxiv",
    "version": 1
  }
}