Pith Number

pith:27DUJHIR

pith:2017:27DUJHIRSHA6GTY3HE5DFG2IDM

not attested not anchored not stored refs pending

Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients

Jan Heiland, Maximilian Behr, Peter Benner

arxiv:1707.08711 v1 · 2017-07-27 · cs.MS · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27DUJHIRSHA6GTY3HE5DFG2IDM}

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	2026-05-18T00:39:22.211852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7c7449d1191c1e34f1b393a329b481b1dafc4636d4924184256b75ac848be97

Aliases

arxiv: 1707.08711 · arxiv_version: 1707.08711v1 · doi: 10.48550/arxiv.1707.08711 · pith_short_12: 27DUJHIRSHA6 · pith_short_16: 27DUJHIRSHA6GTY3 · pith_short_8: 27DUJHIR

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/27DUJHIRSHA6GTY3HE5DFG2IDM \
  | 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: d7c7449d1191c1e34f1b393a329b481b1dafc4636d4924184256b75ac848be97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cb3ea05e47bced89f35e10637bf49d8002bb290fabc3871fa1cfe692204ffab",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2017-07-27T05:42:54Z",
    "title_canon_sha256": "5ece32ae8c6d07aea0f79b0c3965abb6ea210d676cf09c13bbb1074d1f80d3b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08711",
    "kind": "arxiv",
    "version": 1
  }
}