Pith Number

pith:7LCIAEIO

pith:2002:7LCIAEIOFHGKTIWQTPFK37VV6J

not attested not anchored not stored refs pending

Generalised Thurston-Bennequin invariants for real algebraic surface singularities

Ferit Ozturk

arxiv:math/0201057 v2 · 2002-01-08 · math.GT · 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{7LCIAEIOFHGKTIWQTPFK37VV6J}

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	2026-05-18T00:10:41.950978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fac480110e29cca9a2d09bcaadfeb5f27169713c3bd6aabd899db3df2785e24b

Aliases

arxiv: math/0201057 · arxiv_version: math/0201057v2 · doi: 10.48550/arxiv.math/0201057 · pith_short_12: 7LCIAEIOFHGK · pith_short_16: 7LCIAEIOFHGKTIWQ · pith_short_8: 7LCIAEIO

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/7LCIAEIOFHGKTIWQTPFK37VV6J \
  | 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: fac480110e29cca9a2d09bcaadfeb5f27169713c3bd6aabd899db3df2785e24b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "346e6396e8852ba2e50efa4300be6eb3acfa6f2eed69b22a58177efa93db0fd2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-01-08T16:11:58Z",
    "title_canon_sha256": "b43c0ec71e7f24934fb37feda8d6e393993850223f3de74e7aecb201a23e0505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201057",
    "kind": "arxiv",
    "version": 2
  }
}