Pith Number

pith:BK22XXVX

pith:2018:BK22XXVXUEYS2FX3G73PXC2IDV

not attested not anchored not stored refs pending

Navier-Stokes equations on Riemannian manifolds

Jukka Tuomela, Maryam Samavaki

arxiv:1812.09015 v2 · 2018-12-21 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BK22XXVXUEYS2FX3G73PXC2IDV}

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	2026-05-17T23:52:03.542999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ab5abdeb7a1312d16fb37f6fb8b481d42f97307867991d25ee880486f1fcc15

Aliases

arxiv: 1812.09015 · arxiv_version: 1812.09015v2 · doi: 10.48550/arxiv.1812.09015 · pith_short_12: BK22XXVXUEYS · pith_short_16: BK22XXVXUEYS2FX3 · pith_short_8: BK22XXVX

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/BK22XXVXUEYS2FX3G73PXC2IDV \
  | 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: 0ab5abdeb7a1312d16fb37f6fb8b481d42f97307867991d25ee880486f1fcc15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d504d344143e46c6350d5f3cc348131c691a010cc63be7945f0b95e6f79dfe0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-12-21T09:38:50Z",
    "title_canon_sha256": "9ce35e03325258c10a6eb48ede225fe8ec9cc75a3d030f212db4d4cba0389d2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09015",
    "kind": "arxiv",
    "version": 2
  }
}