Pith Number

pith:WI3WYJI5

pith:2026:WI3WYJI5M3OJLMDXLNI4HWKOLE

not attested not anchored not stored refs pending

Goal-oriented space-time adaptivity for the Navier--Stokes equations based on the dual weighted residual method

Marius Paul Bruchh\"auser, Markus Bause, Nils Margenberg

arxiv:2607.00686 v1 · 2026-07-01 · math.NA · cs.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{WI3WYJI5M3OJLMDXLNI4HWKOLE}

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	2026-07-02T01:17:51.583679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2376c251d66dc95b0775b51c3d94e59223d631217bcd07dd6a7b4ce95f35826

Aliases

arxiv: 2607.00686 · arxiv_version: 2607.00686v1 · doi: 10.48550/arxiv.2607.00686 · pith_short_12: WI3WYJI5M3OJ · pith_short_16: WI3WYJI5M3OJLMDX · pith_short_8: WI3WYJI5

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/WI3WYJI5M3OJLMDXLNI4HWKOLE \
  | 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: b2376c251d66dc95b0775b51c3d94e59223d631217bcd07dd6a7b4ce95f35826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "707eab2160b088ebc5b65cccf748b9b4a2b8c32f3d5aabaea3e80dde1a4b4629",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-01T09:31:20Z",
    "title_canon_sha256": "20f9fcc5cc103591fe7637baf911467c16ae41da0570eed721f0c5b9bf279b70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00686",
    "kind": "arxiv",
    "version": 1
  }
}