pith. sign in
Pith Number

pith:7PPYOR7Y

pith:2013:7PPYOR7Y7Q2A4LU3PN7ZA7OEM4
not attested not anchored not stored refs pending

Riemannian and Finslerian spheres with fractal cut loci

Jinchi Itoh, Sorin V. Sabau

arxiv:1305.5028 v1 · 2013-05-22 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7PPYOR7Y7Q2A4LU3PN7ZA7OEM4}

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 2026-05-18T03:25:13.724719Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fbdf8747f8fc340e2e9b7b7f907dc4670c2d21862ea645b108fd265864122325

Aliases

arxiv: 1305.5028 · arxiv_version: 1305.5028v1 · doi: 10.48550/arxiv.1305.5028 · pith_short_12: 7PPYOR7Y7Q2A · pith_short_16: 7PPYOR7Y7Q2A4LU3 · pith_short_8: 7PPYOR7Y
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7PPYOR7Y7Q2A4LU3PN7ZA7OEM4 \
  | 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: fbdf8747f8fc340e2e9b7b7f907dc4670c2d21862ea645b108fd265864122325
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "89b3717e68d3cfce369b23c7dd7662e3d0f50220f246041d18df16b92d0494bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-22T06:19:26Z",
    "title_canon_sha256": "c051be6a445c8ab9df9828b57a477e70358e78c98b3ee7ed65984caaf796e3b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5028",
    "kind": "arxiv",
    "version": 1
  }
}