Pith Number

pith:2HBWLQ7U

pith:2015:2HBWLQ7UDM5ODHTEFS2FXVN4SE

not attested not anchored not stored refs pending

Global Action-Angle Variables for Non-Commutative Integrable Systems

Camille Laurent-Gengoux, Pol Vanhaecke, Rui L. Fernandes

arxiv:1503.00084 v1 · 2015-02-28 · math.DG · 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{2HBWLQ7UDM5ODHTEFS2FXVN4SE}

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	2026-05-18T01:33:16.057235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1c365c3f41b3ae19e642cb45bd5bc911c7051d0ba3aa832214e3c5cf35c663b

Aliases

arxiv: 1503.00084 · arxiv_version: 1503.00084v1 · doi: 10.48550/arxiv.1503.00084 · pith_short_12: 2HBWLQ7UDM5O · pith_short_16: 2HBWLQ7UDM5ODHTE · pith_short_8: 2HBWLQ7U

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/2HBWLQ7UDM5ODHTEFS2FXVN4SE \
  | 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: d1c365c3f41b3ae19e642cb45bd5bc911c7051d0ba3aa832214e3c5cf35c663b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5991586ff9bc6162e401302d3a66785d651fb914256e144d974668e626968159",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-28T07:05:39Z",
    "title_canon_sha256": "99df45d47ede78d61df76c9f715837dc371e3b3c1dfed53bb6c3fb2085f24370"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00084",
    "kind": "arxiv",
    "version": 1
  }
}