Pith Number

pith:SES74MTO

pith:2012:SES74MTORKAUVRPKOJJPEUFMZP

not attested not anchored not stored refs pending

Laplacian matrices of weighted digraphs represented as quantum states

Atul Kumar, Bibhas Adhikari, Satyabrata Adhikari, Subhashish Banerjee

arxiv:1205.2747 v2 · 2012-05-12 · quant-ph · 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{SES74MTORKAUVRPKOJJPEUFMZP}

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	2026-05-18T00:48:06.090797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9125fe326e8a814ac5ea7252f250accbee677efdae17258425d6f949f238c71c

Aliases

arxiv: 1205.2747 · arxiv_version: 1205.2747v2 · doi: 10.48550/arxiv.1205.2747 · pith_short_12: SES74MTORKAU · pith_short_16: SES74MTORKAUVRPK · pith_short_8: SES74MTO

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/SES74MTORKAUVRPKOJJPEUFMZP \
  | 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: 9125fe326e8a814ac5ea7252f250accbee677efdae17258425d6f949f238c71c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40b53c18cd8b3bd5593de2d14f3cec8534bfc73edeb0c5d6151f7c15edd8f132",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-05-12T07:51:22Z",
    "title_canon_sha256": "a80fb86e40fb16ecf7899de2903179673a64960da6829482a36e0931ae9695e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2747",
    "kind": "arxiv",
    "version": 2
  }
}