pith. sign in
Pith Number

pith:VTRABBEP

pith:2011:VTRABBEP3JYVE3F36YOH3UUO6W
not attested not anchored not stored refs pending

Bessel Function Model for Corneal Topography

Computer Science, {\L}ukasz P{\l}ociniczak (1) ((1) The Institute of Mathematics, Poland), Wojciech Okrasi\'nski (1), Wroclaw, Wroclaw University of Technology

arxiv:1111.6143 v2 · 2011-11-26 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VTRABBEP3JYVE3F36YOH3UUO6W}

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 2026-05-18T01:09:25.166548Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ace200848fda71526cbbf61c7dd28ef58125376f78a20ac94cc5a1cdbf50ef96

Aliases

arxiv: 1111.6143 · arxiv_version: 1111.6143v2 · doi: 10.48550/arxiv.1111.6143 · pith_short_12: VTRABBEP3JYV · pith_short_16: VTRABBEP3JYVE3F3 · pith_short_8: VTRABBEP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VTRABBEP3JYVE3F36YOH3UUO6W \
  | 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: ace200848fda71526cbbf61c7dd28ef58125376f78a20ac94cc5a1cdbf50ef96
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "656e1cef52caf93968d931bc0a536755eb5f940887c0c658ed1d8a31edf809bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-26T08:18:11Z",
    "title_canon_sha256": "910f8200b3a9571f7474fc4cde9e9ad039238788ea3fcd7335bb50d2b9b70bc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6143",
    "kind": "arxiv",
    "version": 2
  }
}