Pith Number

pith:7R7Q7L6H

pith:2026:7R7Q7L6H7ZI7BMEVMFKV2NGGI5

not attested not anchored not stored refs pending

From Triadic Interactions to Kolmogorov Scaling: A Deterministic, Scale-Resolved Formulation of Energy Flux

Erik Bertram

arxiv:2607.16381 v1 · 2026-07-17 · physics.flu-dyn · astro-ph.GA · astro-ph.SR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7R7Q7L6H7ZI7BMEVMFKV2NGGI5}

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	2026-07-21T00:20:14.947673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc7f0fafc7fe51f0b09561555d34c647598f52e76fa79eb9c27d217e84d44bce

Aliases

arxiv: 2607.16381 · arxiv_version: 2607.16381v1 · doi: 10.48550/arxiv.2607.16381 · pith_short_12: 7R7Q7L6H7ZI7 · pith_short_16: 7R7Q7L6H7ZI7BMEV · pith_short_8: 7R7Q7L6H

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/7R7Q7L6H7ZI7BMEVMFKV2NGGI5 \
  | 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: fc7f0fafc7fe51f0b09561555d34c647598f52e76fa79eb9c27d217e84d44bce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "493a3cd6a744f0d2ef1c914988fba896a6fc87fb289c1caaff700f622173eeb1",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.SR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-07-17T16:35:41Z",
    "title_canon_sha256": "c8519d73afc1796e5c116ce127070b4815eeb21c9d3ecb2629af7bcc1d7ccc9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16381",
    "kind": "arxiv",
    "version": 1
  }
}