Pith Number

pith:X24KMGUI

pith:2025:X24KMGUI3JMGMJWQO6BWMKYQQI

not attested not anchored not stored refs pending

Weak and mild solutions to the MHD equations and the viscoelastic Navier-Stokes equations with damping in Wiener amalgam spaces

Chen-Chih Lai

arxiv:2506.06621 v1 · 2025-06-07 · 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{X24KMGUI3JMGMJWQO6BWMKYQQI}

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	2026-07-05T11:17:52.956859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beb8a61a88da586626d07783662b1082277b7aa030a2c1836c01c1ec667b67e9

Aliases

arxiv: 2506.06621 · arxiv_version: 2506.06621v1 · doi: 10.48550/arxiv.2506.06621 · pith_short_12: X24KMGUI3JMG · pith_short_16: X24KMGUI3JMGMJWQ · pith_short_8: X24KMGUI

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/X24KMGUI3JMGMJWQO6BWMKYQQI \
  | 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: beb8a61a88da586626d07783662b1082277b7aa030a2c1836c01c1ec667b67e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2503a7730682ecba5127b4d166178014eb8939a0efc599e5c14b2795145a2e75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-07T01:44:57Z",
    "title_canon_sha256": "d42b473eda7bfcbe98476787d933f4636c80fcf921ebcf945c3c6916f7677479"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06621",
    "kind": "arxiv",
    "version": 1
  }
}