Pith Number

pith:I4RDRKY5

pith:2016:I4RDRKY5VB4LH2ZQBCVZANOKFL

not attested not anchored not stored refs pending

Perturbation theory for the Fokker-Planck operator in chaos

Domenico Lippolis, Jeffrey M. Heninger, Predrag Cvitanovic

arxiv:1602.03044 v2 · 2016-02-09 · 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{I4RDRKY5VB4LH2ZQBCVZANOKFL}

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	2026-05-18T00:41:51.515606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

472238ab1da878b3eb3008ab9035ca2af5ec4f11a5339572e519969ca3b18d8a

Aliases

arxiv: 1602.03044 · arxiv_version: 1602.03044v2 · doi: 10.48550/arxiv.1602.03044 · pith_short_12: I4RDRKY5VB4L · pith_short_16: I4RDRKY5VB4LH2ZQ · pith_short_8: I4RDRKY5

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/I4RDRKY5VB4LH2ZQBCVZANOKFL \
  | 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: 472238ab1da878b3eb3008ab9035ca2af5ec4f11a5339572e519969ca3b18d8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a3777d2d2ba61073f8cc8c6c4ab89d7e6848c9bc19e4842c8ef401136b7f42d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2016-02-09T15:57:52Z",
    "title_canon_sha256": "488af80557fd2a21a648728d943c8048f24bf6b502ef7cf3599a904993cd1e44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03044",
    "kind": "arxiv",
    "version": 2
  }
}