Pith Number

pith:K5NCX3HX

pith:2011:K5NCX3HXXKIL3PHQMF5TS5WG6S

not attested not anchored not stored refs pending

Note on the role of symmetry in scattering from isospectral graphs and drums

Adam Sawicki, Ram Band, Uzy Smilansky

arxiv:1110.2475 v1 · 2011-10-11 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5NCX3HXXKIL3PHQMF5TS5WG6S}

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	2026-05-18T01:22:49.281333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

575a2becf7ba90bdbcf0617b3976c6f488a95166dec2dafb4345a4a0ea788399

Aliases

arxiv: 1110.2475 · arxiv_version: 1110.2475v1 · doi: 10.48550/arxiv.1110.2475 · pith_short_12: K5NCX3HXXKIL · pith_short_16: K5NCX3HXXKIL3PHQ · pith_short_8: K5NCX3HX

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/K5NCX3HXXKIL3PHQMF5TS5WG6S \
  | 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: 575a2becf7ba90bdbcf0617b3976c6f488a95166dec2dafb4345a4a0ea788399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65b908e0e19389d21632418b65547deef849c7b20ec7edc1bc352a1bd9bd03f8",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-11T19:41:18Z",
    "title_canon_sha256": "f6031f28965971c5d67820e17a0d36a753f6747e731ff8e838b5777f61f4d833"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2475",
    "kind": "arxiv",
    "version": 1
  }
}