Pith Number

pith:I5XRBYNX

pith:2016:I5XRBYNX6PF24K66WG657GIP4O

not attested not anchored not stored refs pending

Weak versus strong wave turbulence in the MMT model

Filippo De Lillo, Miguel Onorato, Sergio Chibbaro

arxiv:1609.01636 v1 · 2016-09-06 · 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{I5XRBYNX6PF24K66WG657GIP4O}

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	2026-05-18T00:42:55.481540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

476f10e1b7f3cbae2bdeb1bddf990fe3b76694c86bef021a012b09cb8854752f

Aliases

arxiv: 1609.01636 · arxiv_version: 1609.01636v1 · doi: 10.48550/arxiv.1609.01636 · pith_short_12: I5XRBYNX6PF2 · pith_short_16: I5XRBYNX6PF24K66 · pith_short_8: I5XRBYNX

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/I5XRBYNX6PF24K66WG657GIP4O \
  | 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: 476f10e1b7f3cbae2bdeb1bddf990fe3b76694c86bef021a012b09cb8854752f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcac8ec2a3ebbc1847f6abb908c70616b4017d0ca38b094aecd67c0cbc079819",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2016-09-06T16:19:53Z",
    "title_canon_sha256": "345cf94b0d13f7a233df0ab5194afa4e2de1d972629cf9179f7b1690485fa8ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01636",
    "kind": "arxiv",
    "version": 1
  }
}