Pith Number

pith:LRAUKFZZ

pith:2014:LRAUKFZZA2D6B3FPERAGMKT2MW

not attested not anchored not stored refs pending

Recovering quantum graph spectrum from vertex data

Jonathan Rohleder

arxiv:1411.3835 v3 · 2014-11-14 · math.SP · 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{LRAUKFZZA2D6B3FPERAGMKT2MW}

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	2026-05-18T01:22:03.303650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c414517390687e0ecaf2440662a7a658957ec018ccdd4bf282bb1fadc76fbad

Aliases

arxiv: 1411.3835 · arxiv_version: 1411.3835v3 · doi: 10.48550/arxiv.1411.3835 · pith_short_12: LRAUKFZZA2D6 · pith_short_16: LRAUKFZZA2D6B3FP · pith_short_8: LRAUKFZZ

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/LRAUKFZZA2D6B3FPERAGMKT2MW \
  | 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: 5c414517390687e0ecaf2440662a7a658957ec018ccdd4bf282bb1fadc76fbad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f37db8d85d9ea8b49bbd6314e2026b62b80ea1d9c68683197e1894ba54608069",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-11-14T09:16:57Z",
    "title_canon_sha256": "9ec760813cdedf5ac5d36d1f3bbb7eee7a7b89fa3bbf098e646183b0105034dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3835",
    "kind": "arxiv",
    "version": 3
  }
}