Pith Number

pith:TU6XRM3O

pith:2009:TU6XRM3OVGK5BMO2AD73HGW623

not attested not anchored not stored refs pending

On the Integrability of Tonelli Hamiltonians

Alfonso Sorrentino

arxiv:0903.4300 v2 · 2009-03-25 · math.DS · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TU6XRM3OVGK5BMO2AD73HGW623}

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	2026-05-18T04:37:34.332736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d3d78b36ea995d0b1da00ffb39aded6fb95e33bed2d3b47e26169932c28eded

Aliases

arxiv: 0903.4300 · arxiv_version: 0903.4300v2 · doi: 10.48550/arxiv.0903.4300 · pith_short_12: TU6XRM3OVGK5 · pith_short_16: TU6XRM3OVGK5BMO2 · pith_short_8: TU6XRM3O

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/TU6XRM3OVGK5BMO2AD73HGW623 \
  | 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: 9d3d78b36ea995d0b1da00ffb39aded6fb95e33bed2d3b47e26169932c28eded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "668676f67c730e1ed698855d4129ed818775cb6dc94e6ed0628e63ee58dbf7d2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-03-25T11:22:04Z",
    "title_canon_sha256": "bc57674f44c4a8e0cfedcf18494486b1bd0d6f6787df49ca6ad750267f1c592c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4300",
    "kind": "arxiv",
    "version": 2
  }
}