Pith Number

pith:QBJGDA3E

pith:2025:QBJGDA3EB37IZVIYWMLNDPRACC

not attested not anchored not stored refs pending

The interscale behaviour of uncertainty in three-dimensional Navier-Stokes turbulence

Jin Ge, John Christos Vassilicos, Joran Rolland

arxiv:2507.07314 v1 · 2025-07-09 · 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{QBJGDA3EB37IZVIYWMLNDPRACC}

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	2026-07-05T11:34:55.707001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80526183640efe8cd518b316d1be20109f997a64147443e6e2a6ca46b91ce205

Aliases

arxiv: 2507.07314 · arxiv_version: 2507.07314v1 · doi: 10.48550/arxiv.2507.07314 · pith_short_12: QBJGDA3EB37I · pith_short_16: QBJGDA3EB37IZVIY · pith_short_8: QBJGDA3E

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/QBJGDA3EB37IZVIYWMLNDPRACC \
  | 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: 80526183640efe8cd518b316d1be20109f997a64147443e6e2a6ca46b91ce205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a52073bdf203d0ec8f5f11fd1112f143a0ba3f2be4a74ca3e6d44e824de52dfd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2025-07-09T22:23:19Z",
    "title_canon_sha256": "14831717191423fa09fb6fcb9d32a5cea93759ddde751c277953659aadab53cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07314",
    "kind": "arxiv",
    "version": 1
  }
}