Pith Number

pith:KABW6OF5

pith:2017:KABW6OF5Y7CA6RSVUPJ2WFACW5

not attested not anchored not stored refs pending

An abstract infinite dimensional KAM theorem with application to nonlinear higher dimensional Schrodinger equation systems

Shidi Zhou

arxiv:1701.05727 v1 · 2017-01-20 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KABW6OF5Y7CA6RSVUPJ2WFACW5}

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	2026-05-18T00:52:24.995096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50036f38bdc7c40f4655a3d3ab1402b7532319ccbce4e534c0b6e0e7bc840e9d

Aliases

arxiv: 1701.05727 · arxiv_version: 1701.05727v1 · doi: 10.48550/arxiv.1701.05727 · pith_short_12: KABW6OF5Y7CA · pith_short_16: KABW6OF5Y7CA6RSV · pith_short_8: KABW6OF5

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/KABW6OF5Y7CA6RSVUPJ2WFACW5 \
  | 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: 50036f38bdc7c40f4655a3d3ab1402b7532319ccbce4e534c0b6e0e7bc840e9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef613080a3ae5bfaa7fc8fefd36670b1ab4568717b3050b77c5dec04ff618327",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-01-20T09:04:39Z",
    "title_canon_sha256": "3acea81573320f2a6cb985859191ca8ed45e75621e5817cbce41410ca2fe38c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05727",
    "kind": "arxiv",
    "version": 1
  }
}