Pith Number

pith:PDY6UWNO

pith:2017:PDY6UWNOBSKFWRHJDXILWJRJGU

not attested not anchored not stored refs pending

Non-uniqueness for the transport equation with Sobolev vector fields

L\'aszl\'o Sz\'ekelyhidi Jr, Stefano Modena

arxiv:1712.03867 v3 · 2017-12-11 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDY6UWNOBSKFWRHJDXILWJRJGU}

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	2026-05-18T00:17:53.901471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f1ea59ae0c945b44e91dd0bb26293503a01d1d981777aa075996440ed1a16f

Aliases

arxiv: 1712.03867 · arxiv_version: 1712.03867v3 · doi: 10.48550/arxiv.1712.03867 · pith_short_12: PDY6UWNOBSKF · pith_short_16: PDY6UWNOBSKFWRHJ · pith_short_8: PDY6UWNO

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/PDY6UWNOBSKFWRHJDXILWJRJGU \
  | 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: 78f1ea59ae0c945b44e91dd0bb26293503a01d1d981777aa075996440ed1a16f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5357392c02762a030e50a9b7bf68deac4692e92b667047e7faac135a6154295c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-11T16:19:22Z",
    "title_canon_sha256": "82e068061642f11c796c80a42f4b49b0bff70bfe325902b8e7e0904499108712"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03867",
    "kind": "arxiv",
    "version": 3
  }
}