Pith Number

pith:4AJKGYJT

pith:2012:4AJKGYJTIZBDHE6U5G2HRSYPSQ

not attested not anchored not stored refs pending

Smarandache Curves According to Sabban Frame on S^2

Kemal Ta\c{s}k\"opr\"u, Murat Tosun

arxiv:1206.6229 v3 · 2012-06-27 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AJKGYJTIZBDHE6U5G2HRSYPSQ}

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	2026-05-18T01:06:24.905372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e012a3613346423393d4e9b478cb0f942c06a527328e786c9523ed67ef257e90

Aliases

arxiv: 1206.6229 · arxiv_version: 1206.6229v3 · doi: 10.48550/arxiv.1206.6229 · pith_short_12: 4AJKGYJTIZBD · pith_short_16: 4AJKGYJTIZBDHE6U · pith_short_8: 4AJKGYJT

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/4AJKGYJTIZBDHE6U5G2HRSYPSQ \
  | 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: e012a3613346423393d4e9b478cb0f942c06a527328e786c9523ed67ef257e90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c350b960689381edc85c320b38771dd8aa8bb61ea8abbbe3d053bff26a4dc47b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2012-06-27T11:11:04Z",
    "title_canon_sha256": "ac4c8e63bd90163fd30002dcb35508c5948cdee778f68168ea6449bb52545964"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6229",
    "kind": "arxiv",
    "version": 3
  }
}