Pith Number

pith:27XCNAWR

pith:2005:27XCNAWRGSFVXXXSAVSWJOVYJD

not attested not anchored not stored refs pending

Uniform semiclassical trace formula for U(3) --> SO(3) symmetry breaking

M. Brack, M. \"Ogren, S. M. Reimann, Y. Yu

arxiv:nlin/0505060 v2 · 2005-05-30 · nlin.SI · 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{27XCNAWRGSFVXXXSAVSWJOVYJD}

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	2026-05-18T01:08:49.158972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7ee2682d1348b5bdef2056564bab848d163231e7e61cf86e06a1aea3c59287f

Aliases

arxiv: nlin/0505060 · arxiv_version: nlin/0505060v2 · doi: 10.48550/arxiv.nlin/0505060 · pith_short_12: 27XCNAWRGSFV · pith_short_16: 27XCNAWRGSFVXXXS · pith_short_8: 27XCNAWR

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/27XCNAWRGSFVXXXSAVSWJOVYJD \
  | 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: d7ee2682d1348b5bdef2056564bab848d163231e7e61cf86e06a1aea3c59287f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "324a7036527da8d00a0188e7db3d43997cbf71a0695460b7ea1053d879d17f59",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "nlin.SI",
    "submitted_at": "2005-05-30T11:35:44Z",
    "title_canon_sha256": "229bdb3cbdf8e3653380a3f70a3e63ebe1d29ea3a7216873978655877feeab96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0505060",
    "kind": "arxiv",
    "version": 2
  }
}