Pith Number

pith:LKX6QCBK

pith:2012:LKX6QCBK2DEYSQ2ZRGS4LFN3PC

not attested not anchored not stored refs pending

A KAM algorithm for the resonant non--linear Schr\"odinger equation

C. Procesi, M. Procesi

arxiv:1211.4242 v3 · 2012-11-18 · math.AP · 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{LKX6QCBK2DEYSQ2ZRGS4LFN3PC}

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	2026-05-18T00:35:53.736482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aafe8082ad0c989435989a5c595bb78991f5e6b4b98a0f22aac9a371e6c44da

Aliases

arxiv: 1211.4242 · arxiv_version: 1211.4242v3 · doi: 10.48550/arxiv.1211.4242 · pith_short_12: LKX6QCBK2DEY · pith_short_16: LKX6QCBK2DEYSQ2Z · pith_short_8: LKX6QCBK

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/LKX6QCBK2DEYSQ2ZRGS4LFN3PC \
  | 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: 5aafe8082ad0c989435989a5c595bb78991f5e6b4b98a0f22aac9a371e6c44da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77c4374aedf6523fce4b6c6b89be2a85b683e4c2f7116cdb401cdb87efd1d52d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-18T17:45:52Z",
    "title_canon_sha256": "a1ef507089d3b0725bd4adc3645ffcd69819646c12a0dce51c09e1dbf7dfc8bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4242",
    "kind": "arxiv",
    "version": 3
  }
}