Pith Number

pith:UBF4UHSD

pith:2010:UBF4UHSDL3EXHMBMRZPG3YV2IF

not attested not anchored not stored refs pending

Discrete Gliding Along Principal Curves

Hans-Peter Schr\"ocker

arxiv:1004.1259 v1 · 2010-04-08 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UBF4UHSDL3EXHMBMRZPG3YV2IF}

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	2026-05-18T03:56:08.759732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a04bca1e435ec973b02c8e5e6de2ba417193e8b21c3a7d3d798ad3492ba0dc19

Aliases

arxiv: 1004.1259 · arxiv_version: 1004.1259v1 · doi: 10.48550/arxiv.1004.1259 · pith_short_12: UBF4UHSDL3EX · pith_short_16: UBF4UHSDL3EXHMBM · pith_short_8: UBF4UHSD

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/UBF4UHSDL3EXHMBMRZPG3YV2IF \
  | 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: a04bca1e435ec973b02c8e5e6de2ba417193e8b21c3a7d3d798ad3492ba0dc19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44655ee2e00f2f2b85b4f6353737c61d093b56e74e52b421940afdf4be4c1b36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-04-08T07:12:17Z",
    "title_canon_sha256": "5711dad7a4f2179e14d385ccdd2b86c33f710896f35494ed7d4d43126d99dd39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1259",
    "kind": "arxiv",
    "version": 1
  }
}