Pith Number

pith:4ZKDNOVS

pith:2019:4ZKDNOVSKPFPI77B3IHY45GE2Q

not attested not anchored not stored refs pending

Visual Curve Completion and Rotational Surfaces of Constant Negative Curvature

Alvaro Pampano

arxiv:1907.05696 v1 · 2019-06-27 · 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{4ZKDNOVSKPFPI77B3IHY45GE2Q}

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	2026-05-17T23:40:47.245687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e65436bab253caf47fe1da0f8e74c4d41eb2e5ed2813e753417dd8a24c86265c

Aliases

arxiv: 1907.05696 · arxiv_version: 1907.05696v1 · doi: 10.48550/arxiv.1907.05696 · pith_short_12: 4ZKDNOVSKPFP · pith_short_16: 4ZKDNOVSKPFPI77B · pith_short_8: 4ZKDNOVS

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/4ZKDNOVSKPFPI77B3IHY45GE2Q \
  | 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: e65436bab253caf47fe1da0f8e74c4d41eb2e5ed2813e753417dd8a24c86265c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "035e8ab1bde91594b1a9a54436d6054efe639af0938e2bb645d686041cc8c868",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-06-27T14:30:04Z",
    "title_canon_sha256": "cadbc7ab94446220b51de126eb3cedc8c4188d041fc575e4bfed13f65014b746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05696",
    "kind": "arxiv",
    "version": 1
  }
}