Pith Number

pith:GZHOPO4U

pith:2016:GZHOPO4UTWU6UKHLVUVW7PWAPQ

not attested not anchored not stored refs pending

A characterization of involutes and evolutes of a given curve in $\mathbb{E}^{n}$

Bet\"u Bulca, G\"unay \"Ozt\"urk, Kadri Arslan

arxiv:1604.07346 v1 · 2016-04-21 · 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{GZHOPO4UTWU6UKHLVUVW7PWAPQ}

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	2026-05-18T01:16:22.373286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

364ee7bb949da9ea28ebad2b6fbec07c0196017e8ae8858d2fac7f3317b7319c

Aliases

arxiv: 1604.07346 · arxiv_version: 1604.07346v1 · doi: 10.48550/arxiv.1604.07346 · pith_short_12: GZHOPO4UTWU6 · pith_short_16: GZHOPO4UTWU6UKHL · pith_short_8: GZHOPO4U

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/GZHOPO4UTWU6UKHLVUVW7PWAPQ \
  | 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: 364ee7bb949da9ea28ebad2b6fbec07c0196017e8ae8858d2fac7f3317b7319c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f3aca9f0a9e067de67365301743b5a3d7db53cb8d6a2ae6586f3efe9ffb6e89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-21T21:27:12Z",
    "title_canon_sha256": "eb4c10583dceb7deeccb0e4a948e5537e588feffb73159981a814d5913f8429b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07346",
    "kind": "arxiv",
    "version": 1
  }
}