Pith Number

pith:I4IWFXLT

pith:2025:I4IWFXLTKOOAZ7KGUOYBLSXZTC

not attested not anchored not stored refs pending

A General Version of Carath\'{e}odory's Existence and Uniqueness Theorem

C\'icero L. Frota, Paulo M. de Carvalho-Neto, Pedro G. P. Torelli

arxiv:2505.24516 v1 · 2025-05-30 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I4IWFXLTKOOAZ7KGUOYBLSXZTC}

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	2026-07-05T11:12:51.556766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

471162dd73539c0cfd46a3b015caf998993cd3a4265e4c48f151baa800442be8

Aliases

arxiv: 2505.24516 · arxiv_version: 2505.24516v1 · doi: 10.48550/arxiv.2505.24516 · pith_short_12: I4IWFXLTKOOA · pith_short_16: I4IWFXLTKOOAZ7KG · pith_short_8: I4IWFXLT

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/I4IWFXLTKOOAZ7KGUOYBLSXZTC \
  | 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: 471162dd73539c0cfd46a3b015caf998993cd3a4265e4c48f151baa800442be8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37c9b5b57cb4c9a57b9eb20664756a90e932a1c5b0d843a372fd0e7c80b885d2",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-05-30T12:29:17Z",
    "title_canon_sha256": "dac8dd3634be588531bf7609d106e9def74f9a1143c8c382ca29732d175c51a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.24516",
    "kind": "arxiv",
    "version": 1
  }
}