Pith Number

pith:HOTWCOYL

pith:2011:HOTWCOYLTC264XHD4C7X3NTPIS

not attested not anchored not stored refs pending

Relative entropies, suitable weak solutions, and weak strong uniqueness for the compressible Navier-Stokes system

Antonin Novotny, Bum Ja Jin, Eduard Feireisl

arxiv:1111.3082 v1 · 2011-11-14 · 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{HOTWCOYLTC264XHD4C7X3NTPIS}

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	2026-05-18T01:59:39.563337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ba7613b0b98b5ee5ce3e0bf7db66f44b4b8e71c9b23ed0118b66a11d0b7a3f0

Aliases

arxiv: 1111.3082 · arxiv_version: 1111.3082v1 · doi: 10.48550/arxiv.1111.3082 · pith_short_12: HOTWCOYLTC26 · pith_short_16: HOTWCOYLTC264XHD · pith_short_8: HOTWCOYL

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/HOTWCOYLTC264XHD4C7X3NTPIS \
  | 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: 3ba7613b0b98b5ee5ce3e0bf7db66f44b4b8e71c9b23ed0118b66a11d0b7a3f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "900f1e57d9792d032c4af9cf2d94617428057a8b9360930f13363c55534f860c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-14T01:02:25Z",
    "title_canon_sha256": "ca52d912e4f61045891a534efa7002125bdc529cc5adf21d436c46f89aa0473c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3082",
    "kind": "arxiv",
    "version": 1
  }
}