Pith Number

pith:TT5B5LQR

pith:2009:TT5B5LQRGSZO3CIVVAWQTLMTS7

not attested not anchored not stored refs pending

Coupling constant metamorphosis and Nth order symmetries in classical and quantum mechanics

E. G. Kalnins, S. Post, W. Miller Jr.

arxiv:0908.4393 v1 · 2009-08-31 · math-ph · math.DG · 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{TT5B5LQRGSZO3CIVVAWQTLMTS7}

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	2026-05-18T02:12:12.966213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cfa1eae1134b2ed8915a82d09ad9397c53e5323bfc69cd32ffa725aeddc6c3e

Aliases

arxiv: 0908.4393 · arxiv_version: 0908.4393v1 · doi: 10.48550/arxiv.0908.4393 · pith_short_12: TT5B5LQRGSZO · pith_short_16: TT5B5LQRGSZO3CIV · pith_short_8: TT5B5LQR

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/TT5B5LQRGSZO3CIVVAWQTLMTS7 \
  | 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: 9cfa1eae1134b2ed8915a82d09ad9397c53e5323bfc69cd32ffa725aeddc6c3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5327dfcd7daa66c044042acbed7ce813debdd32cdea4ad6490645401f625ae69",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-08-31T13:27:00Z",
    "title_canon_sha256": "e669645241b9ea4a6d2eb47215a213e327a8a99ff25287106260ee27c913f0a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.4393",
    "kind": "arxiv",
    "version": 1
  }
}