Pith Number

pith:E7ADNKPF

pith:2012:E7ADNKPFDWG2QWNVT36FC2MXKT

not attested not anchored not stored refs pending

Spherical Indicatrices of Involute of a Space Curve in Euclidean 3-Space

Murat Kemal Karacan, Serpil \"Unal, Y{\i}lmaz Tun\c{c}er

arxiv:1204.2988 v1 · 2012-04-13 · 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{E7ADNKPFDWG2QWNVT36FC2MXKT}

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	2026-05-18T01:15:24.449303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27c036a9e51d8da859b59efc51699754c99dcf2e3232fdf383e186ae3c339ced

Aliases

arxiv: 1204.2988 · arxiv_version: 1204.2988v1 · doi: 10.48550/arxiv.1204.2988 · pith_short_12: E7ADNKPFDWG2 · pith_short_16: E7ADNKPFDWG2QWNV · pith_short_8: E7ADNKPF

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/E7ADNKPFDWG2QWNVT36FC2MXKT \
  | 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: 27c036a9e51d8da859b59efc51699754c99dcf2e3232fdf383e186ae3c339ced

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a682f130538026bcecd1d37a83fd466c14171017f6a9adb4e5a926637a9cbd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-13T13:30:41Z",
    "title_canon_sha256": "b63b8aec66f57c392a13d334e5a45c2247d36171412aa9d7c19c37b2c14caf0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2988",
    "kind": "arxiv",
    "version": 1
  }
}