Pith Number

pith:DPTHX6JA

pith:2025:DPTHX6JAJ6SVXRKG5XAE3A4NV4

not attested not anchored not stored refs pending

Cuspidal edges on focal surfaces of regular surfaces

Keisuke Teramoto

arxiv:2509.00860 v3 · 2025-08-31 · 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{DPTHX6JAJ6SVXRKG5XAE3A4NV4}

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	2026-05-20T00:04:12.860067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1be67bf9204fa55bc546edc04d838daf0e2f7d743ac8b7fbfe2fcf5bed922a56

Aliases

arxiv: 2509.00860 · arxiv_version: 2509.00860v3 · doi: 10.48550/arxiv.2509.00860 · pith_short_12: DPTHX6JAJ6SV · pith_short_16: DPTHX6JAJ6SVXRKG · pith_short_8: DPTHX6JA

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/DPTHX6JAJ6SVXRKG5XAE3A4NV4 \
  | 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: 1be67bf9204fa55bc546edc04d838daf0e2f7d743ac8b7fbfe2fcf5bed922a56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9696660a8c3f109d3dc3adb8c8c5bf7dfcff3582847b51ecd1a9888ea307b177",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-08-31T14:06:52Z",
    "title_canon_sha256": "03df59f08108ff5098873264bcea353dfc73fa76c420ee183ae817755f5da18c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.00860",
    "kind": "arxiv",
    "version": 3
  }
}