Pith Number

pith:T2O7KSVA

pith:2017:T2O7KSVA2VELIP5STE7II7DXCC

not attested not anchored not stored refs pending

A proof of Liouville's theorem via o-minimality

Pablo Cubides Kovacsics

arxiv:1712.07593 v1 · 2017-12-19 · math.LO · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2O7KSVA2VELIP5STE7II7DXCC}

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	2026-05-18T00:27:34.102106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e9df54aa0d548b43fb2993e847c7710b7aeeea517e7bcab4ecf1ccd91b0bc87

Aliases

arxiv: 1712.07593 · arxiv_version: 1712.07593v1 · doi: 10.48550/arxiv.1712.07593 · pith_short_12: T2O7KSVA2VEL · pith_short_16: T2O7KSVA2VELIP5S · pith_short_8: T2O7KSVA

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/T2O7KSVA2VELIP5STE7II7DXCC \
  | 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: 9e9df54aa0d548b43fb2993e847c7710b7aeeea517e7bcab4ecf1ccd91b0bc87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a73cab0163fb15d0d1975b3292b74ced4876b15449418e381d7460dbacf76bc",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-12-19T17:38:04Z",
    "title_canon_sha256": "04d1e9055526ced46202e8411394ff437633dce0b9a33c6a39c6d2c1d56356d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07593",
    "kind": "arxiv",
    "version": 1
  }
}