Pith Number

pith:XXE4QLUK

pith:2012:XXE4QLUK7WIQDQ7PLVARSD6WE6

not attested not anchored not stored refs pending

Lc helices and harmonic curvatures in space forms (hypersurface)

Ali Senol, Evren Ziplar, Yusuf Yayli

arxiv:1203.2059 v1 · 2012-03-09 · 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{XXE4QLUK7WIQDQ7PLVARSD6WE6}

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	2026-05-18T04:00:27.589462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdc9c82e8afd9101c3ef5d41190fd627925b229b98b3ba8b54a44533915ec846

Aliases

arxiv: 1203.2059 · arxiv_version: 1203.2059v1 · doi: 10.48550/arxiv.1203.2059 · pith_short_12: XXE4QLUK7WIQ · pith_short_16: XXE4QLUK7WIQDQ7P · pith_short_8: XXE4QLUK

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/XXE4QLUK7WIQDQ7PLVARSD6WE6 \
  | 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: bdc9c82e8afd9101c3ef5d41190fd627925b229b98b3ba8b54a44533915ec846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ced2c05bff67948c2e158a45b2a74e33b48b47461074557f0a1033b7822629e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-09T12:27:25Z",
    "title_canon_sha256": "2aa9dd2c4c97439b23f5e3260a6b18059fc5ae16dc51a66c0ce9b1d1060fc1e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2059",
    "kind": "arxiv",
    "version": 1
  }
}