Pith Number

pith:RELABHTY

pith:2010:RELABHTYHMQWHVEO7W4D6B2P5C

not attested not anchored not stored refs pending

Weak Liouville-Arnold Theorems & Their Implications

Alfonso Sorrentino, Leo T. Butler

arxiv:1011.0172 v4 · 2010-10-31 · math.DS · math.SG · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RELABHTYHMQWHVEO7W4D6B2P5C}

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	2026-05-18T03:41:02.600357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8916009e783b2163d48efdb83f074fe882808207af411098a17bd61520764059

Aliases

arxiv: 1011.0172 · arxiv_version: 1011.0172v4 · doi: 10.48550/arxiv.1011.0172 · pith_short_12: RELABHTYHMQW · pith_short_16: RELABHTYHMQWHVEO · pith_short_8: RELABHTY

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/RELABHTYHMQWHVEO7W4D6B2P5C \
  | 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: 8916009e783b2163d48efdb83f074fe882808207af411098a17bd61520764059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5081696e8fae1f977224bc8d7e46643cdfd0b7df63e048b7ffe84e9c3eb71dd3",
    "cross_cats_sorted": [
      "math.SG",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-10-31T15:40:54Z",
    "title_canon_sha256": "806e257c0f9418b27d96b0f0fc6dfe4ac3b64daaa195ee8b05700b46029ab3c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0172",
    "kind": "arxiv",
    "version": 4
  }
}