Pith Number

pith:QXS3QUVG

pith:2026:QXS3QUVGPQYYZSYZPIR47Q34TS

not attested not anchored not stored refs pending

Global existence and optimal decay for a three-dimensional penalized Navier--Stokes system with biharmonic damping

Kabiru Michael Adeyemo, Mohamed Majdoub, Subha Pal

arxiv:2607.10657 v1 · 2026-07-12 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXS3QUVGPQYYZSYZPIR47Q34TS}

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	2026-07-14T01:21:32.988424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85e5b852a67c318ccb197a23cfc37c9c83bf157232ab1c1a5d275260cabdd713

Aliases

arxiv: 2607.10657 · arxiv_version: 2607.10657v1 · doi: 10.48550/arxiv.2607.10657 · pith_short_12: QXS3QUVGPQYY · pith_short_16: QXS3QUVGPQYYZSYZ · pith_short_8: QXS3QUVG

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/QXS3QUVGPQYYZSYZPIR47Q34TS \
  | 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: 85e5b852a67c318ccb197a23cfc37c9c83bf157232ab1c1a5d275260cabdd713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbe91ed8a48b2f68c86d8b47763b937522e2c6c718678e346e73abc92b9980cc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-12T08:45:16Z",
    "title_canon_sha256": "a5a1188a27023f25b9873b399b8dfceec8062c4b0335da2d1a18045beda71933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10657",
    "kind": "arxiv",
    "version": 1
  }
}