Pith Number

pith:JKY6GLJ4

pith:2012:JKY6GLJ4PDKWBNVK4PCYC63G6U

not attested not anchored not stored refs pending

Non-Null Weakened Mannheim curves

Murat Kemal Karacan, Y{\i}lmaz Tun\c{c}er

arxiv:1204.2954 v2 · 2012-04-13 · 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{JKY6GLJ4PDKWBNVK4PCYC63G6U}

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	2026-05-18T01:15:24.457589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ab1e32d3c78d560b6aae3c5817b66f5245f39ee7b627d1e6c86447ee6b89cfa

Aliases

arxiv: 1204.2954 · arxiv_version: 1204.2954v2 · doi: 10.48550/arxiv.1204.2954 · pith_short_12: JKY6GLJ4PDKW · pith_short_16: JKY6GLJ4PDKWBNVK · pith_short_8: JKY6GLJ4

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/JKY6GLJ4PDKWBNVK4PCYC63G6U \
  | 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: 4ab1e32d3c78d560b6aae3c5817b66f5245f39ee7b627d1e6c86447ee6b89cfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d971f0f74d77e4e8e840279a580ba660a768be1a575b016f3527ee5a6c104947",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-13T11:19:02Z",
    "title_canon_sha256": "9784d3a8efe81053cb72635f4a6b8fa2e7f1f4508dcdba594b976ecfb43e5304"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2954",
    "kind": "arxiv",
    "version": 2
  }
}