Pith Number

pith:Y24QMJEB

pith:2011:Y24QMJEB54RAEBRGJ5MZBB2QM5

not attested not anchored not stored refs pending

Quantum graphs and their spectra

Ralf Rueckriemen

arxiv:1110.3626 v1 · 2011-10-17 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y24QMJEB54RAEBRGJ5MZBB2QM5}

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	2026-05-18T04:10:48.809903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6b9062481ef220206264f5990875067505a9f1e37c6a91ed66fc48dd1309295

Aliases

arxiv: 1110.3626 · arxiv_version: 1110.3626v1 · doi: 10.48550/arxiv.1110.3626 · pith_short_12: Y24QMJEB54RA · pith_short_16: Y24QMJEB54RAEBRG · pith_short_8: Y24QMJEB

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/Y24QMJEB54RAEBRGJ5MZBB2QM5 \
  | 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: c6b9062481ef220206264f5990875067505a9f1e37c6a91ed66fc48dd1309295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29248b1d716d82491b773d8011a1f4eb022740cf71cf6c3bf3e922731eba696e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-10-17T10:33:14Z",
    "title_canon_sha256": "1d9c48f4c00587473d61a2e3bbb8058c66e07454e9914adbc5b78fa1722b9a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3626",
    "kind": "arxiv",
    "version": 1
  }
}