pith. sign in
Pith Number

pith:LXWCXHG7

pith:2019:LXWCXHG7C2VX4UDRVN7TGH3G5L
not attested not anchored not stored refs pending

Anti-orthotomics of frontals and their applications

Stanis{\l}aw Janeczko, Takashi Nishimura

arxiv:1907.00721 v2 · 2019-06-26 · math.DG · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LXWCXHG7C2VX4UDRVN7TGH3G5L}

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 2026-05-17T23:39:23.690451Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5dec2b9cdf16ab7e5071ab7f331f66ead76d20fe6f1aaabd5132ef1b52b4c9ca

Aliases

arxiv: 1907.00721 · arxiv_version: 1907.00721v2 · doi: 10.48550/arxiv.1907.00721 · pith_short_12: LXWCXHG7C2VX · pith_short_16: LXWCXHG7C2VX4UDR · pith_short_8: LXWCXHG7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LXWCXHG7C2VX4UDRVN7TGH3G5L \
  | 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: 5dec2b9cdf16ab7e5071ab7f331f66ead76d20fe6f1aaabd5132ef1b52b4c9ca
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c0929c6fc5f8f5b745d8ba90809f5debf4713b02db48de45f5f9abbe4c506b38",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-06-26T13:27:21Z",
    "title_canon_sha256": "96aadfba506d48400cf977c14d47c6c6b3206ee9032b03833a428d3fa90700b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00721",
    "kind": "arxiv",
    "version": 2
  }
}