Pith Number

pith:26PIN4AX

pith:2013:26PIN4AXO2N2IPTXIQ6PMV756P

not attested not anchored not stored refs pending

One-dimensional energy spectra in three-dimensional incompressible homogeneous isotropic turbulence

Ran Zheng, Wang Yao-yao, Yuan Xing-jie

arxiv:1301.6249 v1 · 2013-01-26 · physics.flu-dyn · cond-mat.stat-mech · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26PIN4AXO2N2IPTXIQ6PMV756P}

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	2026-05-18T03:35:24.586688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d79e86f017769ba43e77443cf657fdf3d39aa2ed068754d12f120dd60f041e1d

Aliases

arxiv: 1301.6249 · arxiv_version: 1301.6249v1 · doi: 10.48550/arxiv.1301.6249 · pith_short_12: 26PIN4AXO2N2 · pith_short_16: 26PIN4AXO2N2IPTX · pith_short_8: 26PIN4AX

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/26PIN4AXO2N2IPTXIQ6PMV756P \
  | 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: d79e86f017769ba43e77443cf657fdf3d39aa2ed068754d12f120dd60f041e1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50729571c2655c3f05138dc21c468c2f026854268d8a0449ce5325e6e69e47d6",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2013-01-26T13:09:17Z",
    "title_canon_sha256": "5bb3018302144e6c423fa163bcaa68f9e02676475147bab4a1408b01688f5803"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6249",
    "kind": "arxiv",
    "version": 1
  }
}