Pith Number

pith:HJNGKAL3

pith:2023:HJNGKAL35PMLU2RZK2ZI4TG6GV

not attested not anchored not stored refs pending

KAM via Standard Fixed Point Theorems

Chengyang Shao, Thomas Alazard

arxiv:2312.13971 v3 · 2023-12-21 · 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{HJNGKAL35PMLU2RZK2ZI4TG6GV}

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.

Cited by

2 papers in Pith

Fixed point theorems for small divisors problems

Sharp regularity of a weighted Sobolev space over $ \mathbb{T}^n $ and its relation to finitely differentiable KAM theory

Receipt and verification

First computed	2026-07-05T10:40:32.938613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a5a65017bebd8ba6a3956b28e4cde356d063242d29e968905e0abaa73f385d4

Aliases

arxiv: 2312.13971 · arxiv_version: 2312.13971v3 · doi: 10.48550/arxiv.2312.13971 · pith_short_12: HJNGKAL35PML · pith_short_16: HJNGKAL35PMLU2RZ · pith_short_8: HJNGKAL3

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/HJNGKAL35PMLU2RZK2ZI4TG6GV \
  | 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: 3a5a65017bebd8ba6a3956b28e4cde356d063242d29e968905e0abaa73f385d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "348d0ed313555dc2b5cdc8978c11b41497c87e8104e4cc7615be177ddd51eb42",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-12-21T15:58:48Z",
    "title_canon_sha256": "d07786d038f31a4cbf8e382d74827944eeeff2b182f0e38fd3c8854fa8b45696"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.13971",
    "kind": "arxiv",
    "version": 3
  }
}