Pith Number

pith:L4PIYX73

pith:2026:L4PIYX73WKBSHTMWZOMIWWUQVQ

not attested not anchored not stored refs pending

Coherence as Thermodynamic Organization: Toward a Non-Equilibrium Turbulence Theory

Sharath S. Girimaji

arxiv:2607.11817 v1 · 2026-07-13 · physics.flu-dyn · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4PIYX73WKBSHTMWZOMIWWUQVQ}

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	2026-07-14T02:22:33.870407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f1e8c5ffbb28323cd96cb988b5a90ac1af23aad9e604b41420a3c1f04210beb

Aliases

arxiv: 2607.11817 · arxiv_version: 2607.11817v1 · doi: 10.48550/arxiv.2607.11817 · pith_short_12: L4PIYX73WKBS · pith_short_16: L4PIYX73WKBSHTMW · pith_short_8: L4PIYX73

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/L4PIYX73WKBSHTMWZOMIWWUQVQ \
  | 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: 5f1e8c5ffbb28323cd96cb988b5a90ac1af23aad9e604b41420a3c1f04210beb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28540fb7df832b35806b850622fa2eb24b74c4d3af989aae4c2f21d8d6a79173",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-07-13T17:12:45Z",
    "title_canon_sha256": "432f8bdcc75c665e6cd56d7f7a1559fe274c43c6722513cde98c2751d2abb096"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11817",
    "kind": "arxiv",
    "version": 1
  }
}