Pith Number

pith:6SF54UKB

pith:2015:6SF54UKBCEHYDS6COGEHMY3UN2

not attested not anchored not stored refs pending

Liouville theorems for the Stationary Navier Stokes equation on a hyperbolic space

Chi Hin Chan, Magdalena Czubak

arxiv:1501.04928 v1 · 2015-01-20 · 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{6SF54UKBCEHYDS6COGEHMY3UN2}

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	2026-05-18T02:29:01.955962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f48bde5141110f81cbc271887663746ebdf1d903e9d9b3032037d5f0834a7cb1

Aliases

arxiv: 1501.04928 · arxiv_version: 1501.04928v1 · doi: 10.48550/arxiv.1501.04928 · pith_short_12: 6SF54UKBCEHY · pith_short_16: 6SF54UKBCEHYDS6C · pith_short_8: 6SF54UKB

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/6SF54UKBCEHYDS6COGEHMY3UN2 \
  | 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: f48bde5141110f81cbc271887663746ebdf1d903e9d9b3032037d5f0834a7cb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc9b95a82c54f46e91b0c4f98935e104a724593eec4547ef6eb169a049909ba3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-20T19:39:05Z",
    "title_canon_sha256": "0c2dc009608745987a534d7f886b3b8cc843da1765057afb6f01d90fe821a9dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04928",
    "kind": "arxiv",
    "version": 1
  }
}