Pith Number

pith:OP5C7K4K

pith:2010:OP5C7K4KF5AAQ7ERVRVXBJMNQS

not attested not anchored not stored refs pending

Involute-Evolute Curves in Galilean Space G_3

A. Z. Azak, M. Aky\.{i}\~{g}\.{i}t, S. Ersoy

arxiv:1003.3113 v1 · 2010-03-16 · 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{OP5C7K4KF5AAQ7ERVRVXBJMNQS}

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	2026-05-17T23:51:24.168705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73fa2fab8a2f40087c91ac6b70a58d84892eab2b3261ffb5c3ae316d6bb3e5f4

Aliases

arxiv: 1003.3113 · arxiv_version: 1003.3113v1 · doi: 10.48550/arxiv.1003.3113 · pith_short_12: OP5C7K4KF5AA · pith_short_16: OP5C7K4KF5AAQ7ER · pith_short_8: OP5C7K4K

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/OP5C7K4KF5AAQ7ERVRVXBJMNQS \
  | 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: 73fa2fab8a2f40087c91ac6b70a58d84892eab2b3261ffb5c3ae316d6bb3e5f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4e6ff63c2d3d09c172327cab2bdc3fd6749b69ae5c58fd4a2f28fee0859c9ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-03-16T09:39:01Z",
    "title_canon_sha256": "265de3bb9081f6c85d9de7e65f8cc431a52a1d58f3258c69037f644aff861dc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3113",
    "kind": "arxiv",
    "version": 1
  }
}