Pith Number

pith:RAZCD5HJ

pith:2005:RAZCD5HJZ743MGOZ4NLOZ2RVWC

not attested not anchored not stored refs pending

A matrix representation of graphs and its spectrum as a graph invariant

David Emms, Edwin R. Hancock, Richard C. Wilson, Simone Severini

arxiv:quant-ph/0505026 v2 · 2005-05-05 · 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{RAZCD5HJZ743MGOZ4NLOZ2RVWC}

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.

Cited by

1 paper in Pith

Graph Embedding in the Graph Fractional Fourier Transform Domain

Receipt and verification

First computed	2026-07-04T14:50:19.113929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

883221f4e9cff9b619d9e356ecea35b0be890cc28f2dd61f35c6a1869e19abf9

Aliases

arxiv: quant-ph/0505026 · arxiv_version: quant-ph/0505026v2 · doi: 10.48550/arxiv.quant-ph/0505026 · pith_short_12: RAZCD5HJZ743 · pith_short_16: RAZCD5HJZ743MGOZ · pith_short_8: RAZCD5HJ

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/RAZCD5HJZ743MGOZ4NLOZ2RVWC \
  | 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: 883221f4e9cff9b619d9e356ecea35b0be890cc28f2dd61f35c6a1869e19abf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1524081fdeeefd307d98a29e9b39d3bb50848565dad5a0949f79a87edacbe8e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-05-05T14:08:13Z",
    "title_canon_sha256": "09153e25983bfffa437ae04d8e47b71d612f928c1454a24e9a614507d9f88125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0505026",
    "kind": "arxiv",
    "version": 2
  }
}