Pith Number

pith:IN7AJ6PE

pith:2013:IN7AJ6PEM6QOJVO3NVTA3EEY4F

not attested not anchored not stored refs pending

Characterizations of the Quaternionic Bertrand Curve in Euclidean Space E4

Ferda\u{g} Kahraman Aksoyak, \.Ismail G\"ok

arxiv:1302.2809 v2 · 2013-02-12 · 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{IN7AJ6PEM6QOJVO3NVTA3EEY4F}

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	2026-05-18T01:00:20.721831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

437e04f9e467a0e4d5db6d660d9098e15de509d2d1afcc9193b457187dafb1ab

Aliases

arxiv: 1302.2809 · arxiv_version: 1302.2809v2 · doi: 10.48550/arxiv.1302.2809 · pith_short_12: IN7AJ6PEM6QO · pith_short_16: IN7AJ6PEM6QOJVO3 · pith_short_8: IN7AJ6PE

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/IN7AJ6PEM6QOJVO3NVTA3EEY4F \
  | 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: 437e04f9e467a0e4d5db6d660d9098e15de509d2d1afcc9193b457187dafb1ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "017502d366b67b9cb5eff13ba506db044e4bfc760edc348760314bbf08f38726",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-12T14:43:47Z",
    "title_canon_sha256": "f4738b5fbb18d99b04755fa7594e71bf78cd0a3ed287b1c61461391aa6aea8ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2809",
    "kind": "arxiv",
    "version": 2
  }
}