Pith Number

pith:Z5QFAHDD

pith:2026:Z5QFAHDDSQ52WX5W76BW5B5JSB

not attested not anchored not stored refs pending

Collective superintegrable systems from the Guillemin--Sternberg torus action

L. Feher

arxiv:2608.01878 v1 · 2026-08-03 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5QFAHDDSQ52WX5W76BW5B5JSB}

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	2026-08-04T02:07:30.988371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf60501c63943bab5fb6ff836e87a9904312319deaeb21e65b1b5eb9f71dfb48

Aliases

arxiv: 2608.01878 · arxiv_version: 2608.01878v1 · doi: 10.48550/arxiv.2608.01878 · pith_short_12: Z5QFAHDDSQ52 · pith_short_16: Z5QFAHDDSQ52WX5W · pith_short_8: Z5QFAHDD

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/Z5QFAHDDSQ52WX5W76BW5B5JSB \
  | 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: cf60501c63943bab5fb6ff836e87a9904312319deaeb21e65b1b5eb9f71dfb48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "441ff8b94354f8b7374c084d120235451961ad20d21276b5be2b3b98bc521325",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-08-03T08:22:41Z",
    "title_canon_sha256": "eac159b35d38a86813d9331d9dfa4c8aea2c582a065257a507bc845d802eb55c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01878",
    "kind": "arxiv",
    "version": 1
  }
}