Pith Number

pith:CQSHQRGI

pith:2026:CQSHQRGIJ545FZEMKJHEDPZYIF

not attested not anchored not stored refs pending

Sharp approximate Carath\'eodory theorem and application to iterated Delaunay refinement

Rapha\"el Tinarrage

arxiv:2606.25854 v1 · 2026-06-24 · cs.CG · math.CO · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQSHQRGIJ545FZEMKJHEDPZYIF}

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	2026-06-25T01:18:41.142114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14247844c84f79d2e48c524e41bf384147d97f69095301cd1b86afe6ea427fa7

Aliases

arxiv: 2606.25854 · arxiv_version: 2606.25854v1 · doi: 10.48550/arxiv.2606.25854 · pith_short_12: CQSHQRGIJ545 · pith_short_16: CQSHQRGIJ545FZEM · pith_short_8: CQSHQRGI

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/CQSHQRGIJ545FZEMKJHEDPZYIF \
  | 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: 14247844c84f79d2e48c524e41bf384147d97f69095301cd1b86afe6ea427fa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab46c1847f21b7b43245838d849918b604c214152be5e15fa971ecf9bc7d9e6f",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2026-06-24T14:02:42Z",
    "title_canon_sha256": "42495d30c034384a2285b741976a846414c8f90513a8e39a379951cd801fdb7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25854",
    "kind": "arxiv",
    "version": 1
  }
}