Pith Number

pith:NWMQ25XU

pith:2011:NWMQ25XUBJUPFPYPIMXF7SFPXI

not attested not anchored not stored refs pending

Mathematical results for some $\displaystyle{\alpha}$ models of turbulence with critical and subcritical regularizations

Hani Ali

arxiv:1105.0694 v1 · 2011-05-03 · 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{NWMQ25XUBJUPFPYPIMXF7SFPXI}

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	2026-05-18T02:02:09.248796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d990d76f40a68f2bf0f432e5fc8afba23795b120c9ee48624703e8ffd309fcf

Aliases

arxiv: 1105.0694 · arxiv_version: 1105.0694v1 · doi: 10.48550/arxiv.1105.0694 · pith_short_12: NWMQ25XUBJUP · pith_short_16: NWMQ25XUBJUPFPYP · pith_short_8: NWMQ25XU

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/NWMQ25XUBJUPFPYPIMXF7SFPXI \
  | 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: 6d990d76f40a68f2bf0f432e5fc8afba23795b120c9ee48624703e8ffd309fcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a20aa15f0a1458c30e8322c940283b7d95cbfc39f46d5700ef2297ddbb9f049",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-03T21:29:56Z",
    "title_canon_sha256": "afbc59b2ec8c0522c512de41d9d80b09d2c6a0126c5510846d2a1e1e95b242b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0694",
    "kind": "arxiv",
    "version": 1
  }
}