Pith Number

pith:ZLC4E4OV

pith:2013:ZLC4E4OVPRTJLNKUVCOHEIGYV3

not attested not anchored not stored refs pending

Characterizations of the Quaternionic Mannheim Curves in E^4

O. Zeki Okuyucu

arxiv:1301.5666 v1 · 2013-01-23 · 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{ZLC4E4OVPRTJLNKUVCOHEIGYV3}

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	2026-05-18T03:08:14.357771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cac5c271d57c6695b554a89c7220d8aedfc306572c56f04138dc6b416d946a68

Aliases

arxiv: 1301.5666 · arxiv_version: 1301.5666v1 · doi: 10.48550/arxiv.1301.5666 · pith_short_12: ZLC4E4OVPRTJ · pith_short_16: ZLC4E4OVPRTJLNKU · pith_short_8: ZLC4E4OV

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/ZLC4E4OVPRTJLNKUVCOHEIGYV3 \
  | 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: cac5c271d57c6695b554a89c7220d8aedfc306572c56f04138dc6b416d946a68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c029ac836e854dbf5bf3716bad52f135f6ddc03138f0c6d4fd701badc3718c7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-23T22:45:14Z",
    "title_canon_sha256": "ef80a30ee2d334e9c44f1068e9ec77e1266526838fe397c494b29868eee70996"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5666",
    "kind": "arxiv",
    "version": 1
  }
}