Pith Number

pith:2N33SFCK

pith:2017:2N33SFCK7C4UNSF77UNNYWS47Q

not attested not anchored not stored refs pending

The renormalization method from continuous to discrete dynamical systems: asymptotic solutions, reductions and invariant manifolds

Cheng-shi Liu

arxiv:1702.08512 v3 · 2017-02-22 · math.CA · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2N33SFCK7C4UNSF77UNNYWS47Q}

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	2026-05-18T00:39:28.633574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d377b9144af8b946c8bffd1adc5a5cfc08233100d9d0bddc8743fa7b99c42d57

Aliases

arxiv: 1702.08512 · arxiv_version: 1702.08512v3 · doi: 10.48550/arxiv.1702.08512 · pith_short_12: 2N33SFCK7C4U · pith_short_16: 2N33SFCK7C4UNSF7 · pith_short_8: 2N33SFCK

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/2N33SFCK7C4UNSF77UNNYWS47Q \
  | 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: d377b9144af8b946c8bffd1adc5a5cfc08233100d9d0bddc8743fa7b99c42d57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec767a6f86c8c0ffe1de1facc4703c4a45886cf9de2a5ca85ac8255e355bbe45",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-02-22T02:28:49Z",
    "title_canon_sha256": "17e6ae1e25e80eaad2bbbb519071cbc7a0adbb8b354b8d0db7112f444547ae88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08512",
    "kind": "arxiv",
    "version": 3
  }
}