Pith Number

pith:JFNN74CQ

pith:2014:JFNN74CQTMHBXFYQP7DXCGTDCW

not attested not anchored not stored refs pending

Non-degenerate Liouville tori are KAM stable

Abed Bounemoura (CEREMADE)

arxiv:1412.0509 v1 · 2014-12-01 · 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{JFNN74CQTMHBXFYQP7DXCGTDCW}

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	2026-05-18T02:32:23.226056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

495adff0509b0e1b97107fc7711a6315a88263bba3725349a689627bc7797a28

Aliases

arxiv: 1412.0509 · arxiv_version: 1412.0509v1 · doi: 10.48550/arxiv.1412.0509 · pith_short_12: JFNN74CQTMHB · pith_short_16: JFNN74CQTMHBXFYQ · pith_short_8: JFNN74CQ

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/JFNN74CQTMHBXFYQP7DXCGTDCW \
  | 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: 495adff0509b0e1b97107fc7711a6315a88263bba3725349a689627bc7797a28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66f68c72a2700a178f4d94626e23f6e415ea8b8031d77ba5cce3ed45b33f28cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-12-01T15:38:18Z",
    "title_canon_sha256": "1cc3325b59cdbe1cbe0a3c8553164b57e356bdf6b0328b4cffd540d1d43e9709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0509",
    "kind": "arxiv",
    "version": 1
  }
}