Pith Number

pith:7BDKLEVD

pith:1999:7BDKLEVDFXF43RBFUPJORF7SS2

not attested not anchored not stored refs pending

A Quantum Observable for the Graph Isomorphism Problem

Mark Ettinger (LANL), Peter Hoyer (BRICS)

arxiv:quant-ph/9901029 v1 · 1999-01-13 · 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{7BDKLEVDFXF43RBFUPJORF7SS2}

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

The Dynamical Lie Algebra of QAOA-MaxCut on the Complete Graph

Receipt and verification

First computed	2026-07-04T14:47:23.339090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f846a592a32dcbcdc425a3d2e897f2969914e04bac2b0b924da12891f68b5d3f

Aliases

arxiv: quant-ph/9901029 · arxiv_version: quant-ph/9901029v1 · doi: 10.48550/arxiv.quant-ph/9901029 · pith_short_12: 7BDKLEVDFXF4 · pith_short_16: 7BDKLEVDFXF43RBF · pith_short_8: 7BDKLEVD

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/7BDKLEVDFXF43RBFUPJORF7SS2 \
  | 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: f846a592a32dcbcdc425a3d2e897f2969914e04bac2b0b924da12891f68b5d3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f77fb684f81a1fb92fb8878f263a0935cfb7bb6acaf64ee97b4ca75116cf201",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-01-13T20:35:53Z",
    "title_canon_sha256": "cf8ce68aeb64500f5444befbce92235f82b5c8db8b87fe8e0a61f3384c3d2876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9901029",
    "kind": "arxiv",
    "version": 1
  }
}