Pith Number

pith:MIIZ4KXF

pith:2012:MIIZ4KXFIDRPIKRRSC2F3SL7C3

not attested not anchored not stored refs pending

Hydrodynamic turbulence as a problem in nonequilibrium statistical mechanics

David Ruelle

arxiv:1210.2374 v1 · 2012-10-08 · physics.flu-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{MIIZ4KXFIDRPIKRRSC2F3SL7C3}

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	2026-05-18T01:54:04.446299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62119e2ae540e2f42a3190b45dc97f16f1f9947b93a7377d6c326466f93ae7b9

Aliases

arxiv: 1210.2374 · arxiv_version: 1210.2374v1 · doi: 10.48550/arxiv.1210.2374 · pith_short_12: MIIZ4KXFIDRP · pith_short_16: MIIZ4KXFIDRPIKRR · pith_short_8: MIIZ4KXF

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/MIIZ4KXFIDRPIKRRSC2F3SL7C3 \
  | 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: 62119e2ae540e2f42a3190b45dc97f16f1f9947b93a7377d6c326466f93ae7b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bf8e7e9f09c1cf1687b5ef9ebc00d972c096a609b3c907442c9c979b6d158bb",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2012-10-08T18:34:47Z",
    "title_canon_sha256": "9755cf1ffa5cfc1cd6d0e98a3dd4ad71fe201ba217f2a1643b4116ae9a25db2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2374",
    "kind": "arxiv",
    "version": 1
  }
}