Pith Number

pith:VWXVQDLP

pith:2016:VWXVQDLPV3GXNQEVTSCKEF5NT4

not attested not anchored not stored refs pending

Contour curves and isophotes on rational ruled surfaces

Jan Vr\v{s}ek

arxiv:1609.07900 v1 · 2016-09-26 · 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{VWXVQDLPV3GXNQEVTSCKEF5NT4}

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	2026-05-18T01:03:55.053794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adaf580d6faecd76c0959c84a217ad9f1bf934e88c1ef11b7c48eab705a2488e

Aliases

arxiv: 1609.07900 · arxiv_version: 1609.07900v1 · doi: 10.48550/arxiv.1609.07900 · pith_short_12: VWXVQDLPV3GX · pith_short_16: VWXVQDLPV3GXNQEV · pith_short_8: VWXVQDLP

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/VWXVQDLPV3GXNQEVTSCKEF5NT4 \
  | 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: adaf580d6faecd76c0959c84a217ad9f1bf934e88c1ef11b7c48eab705a2488e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e979c31725117ef367d536b5bc08b85a8cf8c82a353f333f234ba3b59e9decec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-26T09:27:52Z",
    "title_canon_sha256": "15ab2942be699698e01b03f1e5bb173a87d86ba6d413b94554318fa1994d8d7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07900",
    "kind": "arxiv",
    "version": 1
  }
}