Pith Number

pith:2XQP7TYD

pith:1999:2XQP7TYDW3GAK3IGHRGWSEH4SB

not attested not anchored not stored refs pending

Exact Exponents of Supersonic Turbulence in Arbitrary Dimensions

A. Naji, A. R. Rastegar, S. Rouhani

arxiv:cond-mat/9907417 v2 · 1999-07-27 · cond-mat.stat-mech · chao-dyn · cond-mat.dis-nn · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XQP7TYDW3GAK3IGHRGWSEH4SB}

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	2026-05-18T04:04:15.689090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5e0ffcf03b6cc056d063c4d6910fc90544bfbb7bf329cba2a08af499e9e2ac0

Aliases

arxiv: cond-mat/9907417 · arxiv_version: cond-mat/9907417v2 · doi: 10.48550/arxiv.cond-mat/9907417 · pith_short_12: 2XQP7TYDW3GA · pith_short_16: 2XQP7TYDW3GAK3IG · pith_short_8: 2XQP7TYD

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/2XQP7TYDW3GAK3IGHRGWSEH4SB \
  | 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: d5e0ffcf03b6cc056d063c4d6910fc90544bfbb7bf329cba2a08af499e9e2ac0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7d2d174a8f3787efa259a4c3301efc7e3112f22d338299fbd34d6bdb1068b31",
    "cross_cats_sorted": [
      "chao-dyn",
      "cond-mat.dis-nn",
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1999-07-27T12:03:50Z",
    "title_canon_sha256": "ac636c6b4367f64fb36ec264383e43e79d0dd1ba0e2269ed736ed760727f96e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9907417",
    "kind": "arxiv",
    "version": 2
  }
}