Pith Number

pith:JVALB75Y

pith:2026:JVALB75YHVCHCAQW3FBO542FI5

not attested not anchored not stored refs pending

A H\"older estimate for the trajectories of the Navier-Stokes equations

Ming-Yuan Chang

arxiv:2605.22006 v1 · 2026-05-21 · 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{JVALB75YHVCHCAQW3FBO542FI5}

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	2026-05-22T01:04:20.062126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d40b0ffb83d44710216d942eef34547771a282bf2f4c97ca42eb4ee1cdcea28

Aliases

arxiv: 2605.22006 · arxiv_version: 2605.22006v1 · doi: 10.48550/arxiv.2605.22006 · pith_short_12: JVALB75YHVCH · pith_short_16: JVALB75YHVCHCAQW · pith_short_8: JVALB75Y

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/JVALB75YHVCHCAQW3FBO542FI5 \
  | 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: 4d40b0ffb83d44710216d942eef34547771a282bf2f4c97ca42eb4ee1cdcea28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56f85434d2a6d1bbf03adad19c78361b4658369c40e85031e36c69b1ae763054",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-21T05:08:30Z",
    "title_canon_sha256": "1fe9be8dec017d9b975844d51cdf9b13c18de63887a7095f0ab8968d079e39ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22006",
    "kind": "arxiv",
    "version": 1
  }
}