Pith Number

pith:MLBXURJ4

pith:2013:MLBXURJ4SFMBROJUV2DJF5KUX4

not attested not anchored not stored refs pending

A Kolmogorov-Like Exact Relation for Compressible Polytropic Turbulence

S\'ebastien Galtier, Supratik Banerjee

arxiv:1308.4051 v2 · 2013-08-19 · 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{MLBXURJ4SFMBROJUV2DJF5KUX4}

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	2026-05-18T01:48:13.960743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62c37a453c915818b934ae8692f554bf1b3172e6d12efdbebc0a5a4727aba212

Aliases

arxiv: 1308.4051 · arxiv_version: 1308.4051v2 · doi: 10.48550/arxiv.1308.4051 · pith_short_12: MLBXURJ4SFMB · pith_short_16: MLBXURJ4SFMBROJU · pith_short_8: MLBXURJ4

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/MLBXURJ4SFMBROJUV2DJF5KUX4 \
  | 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: 62c37a453c915818b934ae8692f554bf1b3172e6d12efdbebc0a5a4727aba212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c35ea5467f6a1034cac1aa4fbe6d716c91b2899f1c9f2c9c7921ff2dd1c8fd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2013-08-19T15:24:53Z",
    "title_canon_sha256": "aed333061920a77765180a8f47976f8c0a0ac1285d7a6ae8b18ff9e3d7a92dfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4051",
    "kind": "arxiv",
    "version": 2
  }
}