Pith Number

pith:U64VDLNM

pith:2016:U64VDLNMFDIPQC6X4BSZV2DJ6M

not attested not anchored not stored refs pending

Quantum centrality testing on directed graphs via PT-symmetric quantum walks

J. A. Izaac, J. B. Wang, P. C. Abbott, X. S. Ma

arxiv:1607.02673 v3 · 2016-07-09 · 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{U64VDLNMFDIPQC6X4BSZV2DJ6M}

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	2026-05-18T00:35:24.900456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7b951adac28d0f80bd7e0659ae869f32249eebbb75a38674000470fb6ac7267

Aliases

arxiv: 1607.02673 · arxiv_version: 1607.02673v3 · doi: 10.48550/arxiv.1607.02673 · pith_short_12: U64VDLNMFDIP · pith_short_16: U64VDLNMFDIPQC6X · pith_short_8: U64VDLNM

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/U64VDLNMFDIPQC6X4BSZV2DJ6M \
  | 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: a7b951adac28d0f80bd7e0659ae869f32249eebbb75a38674000470fb6ac7267

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba8df1fdc01d704f96bd07e8ba9c8f3c099e6d6b74fe7b1a92bd5cd83127d85c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-07-09T23:46:00Z",
    "title_canon_sha256": "3856c744a61376023f7b5d4d89971f7633dc266c10306c63d1d7f7826b08d26e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02673",
    "kind": "arxiv",
    "version": 3
  }
}