Pith Number

pith:YTUJAVPH

pith:2024:YTUJAVPHJC6YQTXNQDK2X5SZQJ

not attested not anchored not stored refs pending

Mathematical Analysis of Regularity, Bifurcations, and Turbulence in Fluid Dynamics via Sobolev, Besov, and Triebel-Lizorkin Spaces

R\^omulo Damasclin Chaves dos Santos

arxiv:2411.13838 v1 · 2024-11-21 · math.AP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTUJAVPHJC6YQTXNQDK2X5SZQJ}

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	2026-07-05T09:38:37.810606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4e89055e748bd884eed80d5abf659824fb8a01f3a6c02075b3072edea64902a

Aliases

arxiv: 2411.13838 · arxiv_version: 2411.13838v1 · doi: 10.48550/arxiv.2411.13838 · pith_short_12: YTUJAVPHJC6Y · pith_short_16: YTUJAVPHJC6YQTXN · pith_short_8: YTUJAVPH

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/YTUJAVPHJC6YQTXNQDK2X5SZQJ \
  | 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: c4e89055e748bd884eed80d5abf659824fb8a01f3a6c02075b3072edea64902a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95317de556d34c1b0a6f94de151bdddf55d550df8ca8e4c4b0969a99c45673e7",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-21T04:55:14Z",
    "title_canon_sha256": "5d6ffe5b5d17a8ee65028179c72bcee8435a2bf25f3c1d38154a61817a4c0b68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13838",
    "kind": "arxiv",
    "version": 1
  }
}