Pith Number

pith:5SNXBJBA

pith:2015:5SNXBJBARZDCTP7A4Q2OSZLER3

not attested not anchored not stored refs pending

Caratheodory's Theorem in Depth

Clemens Huemer, Ruy Fabila-Monroy

arxiv:1509.04575 v3 · 2015-09-15 · cs.CG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5SNXBJBARZDCTP7A4Q2OSZLER3}

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	2026-05-18T00:46:59.833808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec9b70a4208e4629bfe0e434e965648ee49ae3ba85c80e66bf83bb28b5eb2dcd

Aliases

arxiv: 1509.04575 · arxiv_version: 1509.04575v3 · doi: 10.48550/arxiv.1509.04575 · pith_short_12: 5SNXBJBARZDC · pith_short_16: 5SNXBJBARZDCTP7A · pith_short_8: 5SNXBJBA

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/5SNXBJBARZDCTP7A4Q2OSZLER3 \
  | 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: ec9b70a4208e4629bfe0e434e965648ee49ae3ba85c80e66bf83bb28b5eb2dcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4509788f5c8ca76fd3b27e15516f3cf0ace4571508a29b76f6700918c0f3ac4b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2015-09-15T14:19:51Z",
    "title_canon_sha256": "eef167f3395ed483f8ee17efc740f48ac4cad4ffb9e477c40a1fae198ecee601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04575",
    "kind": "arxiv",
    "version": 3
  }
}