Pith Number

pith:W6XGKEI2

pith:2025:W6XGKEI2PJWNP4EAER52Y7JS4M

not attested not anchored not stored refs pending

Efficiency of turbulence

A Barral (SPEC - UMR3680), A Lopez (SPEC - UMR3680), B\'ereng\`ere Dubrulle (SPEC - UMR3680), G Costa (SPEC - UMR3680), Q Pikeroen (SPEC - UMR3680), V Shukla

arxiv:2508.05686 v1 · 2025-08-06 · 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{W6XGKEI2PJWNP4EAER52Y7JS4M}

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	2026-07-05T11:50:41.675784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7ae65111a7a6cd7f080247bac7d32e3189b774b826173d6378dd5876b3174c1

Aliases

arxiv: 2508.05686 · arxiv_version: 2508.05686v1 · doi: 10.48550/arxiv.2508.05686 · pith_short_12: W6XGKEI2PJWN · pith_short_16: W6XGKEI2PJWNP4EA · pith_short_8: W6XGKEI2

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/W6XGKEI2PJWNP4EAER52Y7JS4M \
  | 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: b7ae65111a7a6cd7f080247bac7d32e3189b774b826173d6378dd5876b3174c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c28bb5164a5d5ec1b2a736d7572732bd16b38386654b56c226b989533d6afb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2025-08-06T05:04:14Z",
    "title_canon_sha256": "a2f17f83db8ce5e112aecd4bc5244285557c77c9762c95dee08d4f46efa05750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.05686",
    "kind": "arxiv",
    "version": 1
  }
}