pith. sign in
Pith Number

pith:IUU2OK3W

pith:2016:IUU2OK3WDXGMWT4QZMFNO5Y43T
not attested not anchored not stored refs pending

Equivalent linearization finds nonzero frequency corrections beyond first order

Rohitashwa Chattopadhyay, Sagar Chakraborty

arxiv:1605.02978 v2 · 2016-05-10 · nlin.CD · math.CA · physics.class-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IUU2OK3WDXGMWT4QZMFNO5Y43T}

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 2026-05-18T00:39:02.864750Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4529a72b761dcccb4f90cb0ad7771cdcf80ea1f757efe834b3d3ce37b5b618a7

Aliases

arxiv: 1605.02978 · arxiv_version: 1605.02978v2 · doi: 10.48550/arxiv.1605.02978 · pith_short_12: IUU2OK3WDXGM · pith_short_16: IUU2OK3WDXGMWT4Q · pith_short_8: IUU2OK3W
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IUU2OK3WDXGMWT4QZMFNO5Y43T \
  | 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: 4529a72b761dcccb4f90cb0ad7771cdcf80ea1f757efe834b3d3ce37b5b618a7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7a4cd2aeedf8d2a018758a08dd29269aaa372a3f5144fc442d5028a82ecde7c1",
    "cross_cats_sorted": [
      "math.CA",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2016-05-10T12:31:52Z",
    "title_canon_sha256": "0e71fffb55c9bbb827b4ad4e3aec858227f8371fbbc24da4135a07c2952a3ba5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02978",
    "kind": "arxiv",
    "version": 2
  }
}