Pith Number

pith:F2YPSDZL

pith:2017:F2YPSDZL5PAZJBD6BOGABZTUTX

not attested not anchored not stored refs pending

A conceptual approach to the problem of action-angle variables

Nguyen Tien Zung

arxiv:1706.08859 v2 · 2017-06-26 · math.DS · math-ph · math.DG · 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{F2YPSDZL5PAZJBD6BOGABZTUTX}

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	2026-05-18T00:24:17.214025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eb0f90f2bebc194847e0b8c00e6749dff1aaee485b6e172f72a7edd5e78c3fa

Aliases

arxiv: 1706.08859 · arxiv_version: 1706.08859v2 · doi: 10.48550/arxiv.1706.08859 · pith_short_12: F2YPSDZL5PAZ · pith_short_16: F2YPSDZL5PAZJBD6 · pith_short_8: F2YPSDZL

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/F2YPSDZL5PAZJBD6BOGABZTUTX \
  | 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: 2eb0f90f2bebc194847e0b8c00e6749dff1aaee485b6e172f72a7edd5e78c3fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f774bcbeea53427927330df0406669348ef3c55eb4aeadf635e09a023a296cc7",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-06-26T01:08:58Z",
    "title_canon_sha256": "9413893c56cf280ba038e88f53fdc5b1b1ff336be6c732bd8fec01388a56d895"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08859",
    "kind": "arxiv",
    "version": 2
  }
}