Pith Number

pith:5T6FCPZA

pith:1997:5T6FCPZAFRQM3DLH7XGJATYB22

not attested not anchored not stored refs pending

Turbulence and Multiscaling in the Randomly Forced Navier Stokes Equation

Anirban Sain, Manu, Rahul Pandit

arxiv:chao-dyn/9801002 v1 · 1997-12-29 · chao-dyn · 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{5T6FCPZAFRQM3DLH7XGJATYB22}

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	2026-05-18T01:07:24.597978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecfc513f202c60cd8d67fdcc904f01d6b6dca46f582a08663e2c6b64e15743c4

Aliases

arxiv: chao-dyn/9801002 · arxiv_version: chao-dyn/9801002v1 · doi: 10.48550/arxiv.chao-dyn/9801002 · pith_short_12: 5T6FCPZAFRQM · pith_short_16: 5T6FCPZAFRQM3DLH · pith_short_8: 5T6FCPZA

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/5T6FCPZAFRQM3DLH7XGJATYB22 \
  | 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: ecfc513f202c60cd8d67fdcc904f01d6b6dca46f582a08663e2c6b64e15743c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4392e5217149d528ef5cab9573bbd4c449c13c67df329d819046076a24fcf07",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1997-12-29T13:28:39Z",
    "title_canon_sha256": "5df38d5a7fd4ad54dc3cf2d4330214638811da5df42a37eac29e6284f03c765f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9801002",
    "kind": "arxiv",
    "version": 1
  }
}