Pith Number

pith:DZEDYSZB

pith:2002:DZEDYSZBDACAQRCVYCCEREBM2Z

not attested not anchored not stored refs pending

Are minimal degree rational curves determined by their tangent vectors?

Sandor J. Kovacs, Stefan Kebekus

arxiv:math/0206193 v2 · 2002-06-19 · 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{DZEDYSZBDACAQRCVYCCEREBM2Z}

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	2026-05-18T00:56:53.143796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e483c4b211804084455c08448902cd656d2d84aa79e0b132aea0a8ae4f3b3d6

Aliases

arxiv: math/0206193 · arxiv_version: math/0206193v2 · doi: 10.48550/arxiv.math/0206193 · pith_short_12: DZEDYSZBDACA · pith_short_16: DZEDYSZBDACAQRCV · pith_short_8: DZEDYSZB

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/DZEDYSZBDACAQRCVYCCEREBM2Z \
  | 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: 1e483c4b211804084455c08448902cd656d2d84aa79e0b132aea0a8ae4f3b3d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2e82c565359905444243d424de88b15bc477a625da7864c8dcbfe1a19396939",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-06-19T07:25:23Z",
    "title_canon_sha256": "19d012de6417cf7d844ef0ac7a1281c4fd76be87a6516644681839d85365d7fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0206193",
    "kind": "arxiv",
    "version": 2
  }
}