Pith Number

pith:DK4YEZWO

pith:2018:DK4YEZWOGWG3RYGDVNBO4JKXTW

not attested not anchored not stored refs pending

A counterexample to the Liouville property of some nonlocal problems

INRA), J\'er\^ome Coville (BIOSP), Julien Brasseur (I2M

arxiv:1804.07485 v1 · 2018-04-20 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DK4YEZWOGWG3RYGDVNBO4JKXTW}

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	2026-05-18T00:17:58.682977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ab98266ce358db8e0c3ab42ee25579d951c34146ffc87284208905d78c59deb

Aliases

arxiv: 1804.07485 · arxiv_version: 1804.07485v1 · doi: 10.48550/arxiv.1804.07485 · pith_short_12: DK4YEZWOGWG3 · pith_short_16: DK4YEZWOGWG3RYGD · pith_short_8: DK4YEZWO

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/DK4YEZWOGWG3RYGDVNBO4JKXTW \
  | 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: 1ab98266ce358db8e0c3ab42ee25579d951c34146ffc87284208905d78c59deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "645c45c50a82f1a4415c53701741926d62b0f5a3c10fa9cd4131da41c0e58b67",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-20T08:30:44Z",
    "title_canon_sha256": "ab7d09d80da0150bfe105e8512321397c5d502615f8f2d6d7460d08d1643429a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07485",
    "kind": "arxiv",
    "version": 1
  }
}