Pith Number

pith:FAUBAV5H

pith:2012:FAUBAV5HXLMXTUTBG4ECYDQ7F2

not attested not anchored not stored refs pending

A Diophantine duality applied to the KAM and Nekhoroshev theorems

Abed Bounemoura (IAS), Stephane Fischler (LM-Orsay)

arxiv:1204.1608 v2 · 2012-04-07 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FAUBAV5HXLMXTUTBG4ECYDQ7F2}

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	2026-05-18T03:53:06.576910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28281057a7bad979d26137082c0e1f2e93aceb96669d1f78fa6a94b3496bef71

Aliases

arxiv: 1204.1608 · arxiv_version: 1204.1608v2 · doi: 10.48550/arxiv.1204.1608 · pith_short_12: FAUBAV5HXLMX · pith_short_16: FAUBAV5HXLMXTUTB · pith_short_8: FAUBAV5H

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/FAUBAV5HXLMXTUTBG4ECYDQ7F2 \
  | 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: 28281057a7bad979d26137082c0e1f2e93aceb96669d1f78fa6a94b3496bef71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a532462c4b1127295cb05e01cb2e94fd676340247c0fdc0a54919ae1188f9b4",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-07T07:11:07Z",
    "title_canon_sha256": "340233cee0ea557ec18d9695298d8046af623fd59b838a9167e13c3de1060be2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1608",
    "kind": "arxiv",
    "version": 2
  }
}