Pith Number

pith:VR2RVRV7

pith:2018:VR2RVRV77VBJRBKPN7JLIVRSQB

not attested not anchored not stored refs pending

Some applications of parabolic Dirac operators to the instationary Navier-Stokes problem on conformally flat cylinders and tori in $\mathbb{R}^3$

Paula Cerejeiras, Rolf S\"oren Krau{\ss}har, Uwe K\"ahler

arxiv:1804.01767 v1 · 2018-04-05 · 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{VR2RVRV77VBJRBKPN7JLIVRSQB}

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	2026-05-18T00:19:10.051549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac751ac6bffd4298854f6fd2b45632807f3c4171deb467c96472214e845635c8

Aliases

arxiv: 1804.01767 · arxiv_version: 1804.01767v1 · doi: 10.48550/arxiv.1804.01767 · pith_short_12: VR2RVRV77VBJ · pith_short_16: VR2RVRV77VBJRBKP · pith_short_8: VR2RVRV7

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/VR2RVRV77VBJRBKPN7JLIVRSQB \
  | 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: ac751ac6bffd4298854f6fd2b45632807f3c4171deb467c96472214e845635c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "974393da7b41c0795e31b1a25056e97688895995798b1a9faaabb13b36a5e992",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-05T10:33:10Z",
    "title_canon_sha256": "926e4ef6f2dcfb5c627f330c8aecdb08d8386a39fb75a121bb1279922c849728"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01767",
    "kind": "arxiv",
    "version": 1
  }
}