Pith Number

pith:YR3EVRFG

pith:2019:YR3EVRFGTTNECSUTRSMQO4IWEE

not attested not anchored not stored refs pending

Normal forms and invariant manifolds for nonlinear, non-autonomous PDEs, viewed as ODEs in infinite dimensions

A.J. Roberts, Peter Hochs

arxiv:1906.04420 v1 · 2019-06-11 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YR3EVRFGTTNECSUTRSMQO4IWEE}

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	2026-05-17T23:43:39.324261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4764ac4a69cda414a938c99077116210cc7c7890c0b12b536c810866bd7a31f

Aliases

arxiv: 1906.04420 · arxiv_version: 1906.04420v1 · doi: 10.48550/arxiv.1906.04420 · pith_short_12: YR3EVRFGTTNE · pith_short_16: YR3EVRFGTTNECSUT · pith_short_8: YR3EVRFG

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/YR3EVRFGTTNECSUTRSMQO4IWEE \
  | 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: c4764ac4a69cda414a938c99077116210cc7c7890c0b12b536c810866bd7a31f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58dd3927f2fe0708ce64700bb5f62801e68a572d9a0baf1b84d7473ee05a503b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-11T07:49:16Z",
    "title_canon_sha256": "1e008747a1d7ea6f962fd1dcf100a3a6489f9572b252e97c1036f699117e321f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04420",
    "kind": "arxiv",
    "version": 1
  }
}