Pith Number

pith:LIV3PVKG

pith:2013:LIV3PVKGW7NOVJZDILVHO3XUV2

not attested not anchored not stored refs pending

Remarks on the weak formulation of the Navier-Stokes equations on the 2D hyperbolic space

Chi Hin Chan, Magdalena Czubak

arxiv:1309.3496 v1 · 2013-09-13 · 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{LIV3PVKGW7NOVJZDILVHO3XUV2}

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	2026-05-18T03:13:22.423145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a2bb7d546b7daeaa72342ea776ef4ae90984b801bfe8a2e7a6221c5b28e954b

Aliases

arxiv: 1309.3496 · arxiv_version: 1309.3496v1 · doi: 10.48550/arxiv.1309.3496 · pith_short_12: LIV3PVKGW7NO · pith_short_16: LIV3PVKGW7NOVJZD · pith_short_8: LIV3PVKG

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/LIV3PVKGW7NOVJZDILVHO3XUV2 \
  | 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: 5a2bb7d546b7daeaa72342ea776ef4ae90984b801bfe8a2e7a6221c5b28e954b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5867eec200426cf3a324019bbac7551dd8b911fcb5c72d648503ee52821abd2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-13T16:10:34Z",
    "title_canon_sha256": "af2dc050c82105b4e26a8db460049f51094727eab88aa54d7c001645582ad04f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3496",
    "kind": "arxiv",
    "version": 1
  }
}