Pith Number

pith:PWTUBCFZ

pith:2012:PWTUBCFZE2MDLUT3XAEW4Z3UMY

not attested not anchored not stored refs pending

Special Smarandache Curves in E1 3

Nurten Bayrak, Ozcan Bektas, Salim Yuce

arxiv:1204.5656 v2 · 2012-04-25 · math.HO · 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{PWTUBCFZE2MDLUT3XAEW4Z3UMY}

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	2026-05-18T03:40:38.557970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7da74088b9269835d27bb8096e6774660ddd6ca1aa947cdf41ccca9871a9bd81

Aliases

arxiv: 1204.5656 · arxiv_version: 1204.5656v2 · doi: 10.48550/arxiv.1204.5656 · pith_short_12: PWTUBCFZE2MD · pith_short_16: PWTUBCFZE2MDLUT3 · pith_short_8: PWTUBCFZ

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/PWTUBCFZE2MDLUT3XAEW4Z3UMY \
  | 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: 7da74088b9269835d27bb8096e6774660ddd6ca1aa947cdf41ccca9871a9bd81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5040484efc822edf51a79093b363e16e08c6f60785c7d24d4b9f01ec3e2d412f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2012-04-25T13:41:21Z",
    "title_canon_sha256": "e551f8f327e6b0a1e338982ebbf6e8d6ad0b881fb990d73c779b7bf5cf5981bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5656",
    "kind": "arxiv",
    "version": 2
  }
}