Pith Number

pith:I55BVZWR

pith:2017:I55BVZWR7C77B5DIWWCCQW2HTG

not attested not anchored not stored refs pending

A New Perspective on the Average Mixing Matrix

Chris Godsil, Gabriel Coutinho, Hanmeng Zhan, Krystal Guo

arxiv:1709.03591 v1 · 2017-09-11 · math.CO · 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{I55BVZWR7C77B5DIWWCCQW2HTG}

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

Schur States, Average Mixing, and Counting Trees on Line Graphs' CTQW

Receipt and verification

First computed	2026-05-18T00:35:30.067239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

477a1ae6d1f8bff0f468b584285b479987629e62fd2b9e9edc86581ef676ba5d

Aliases

arxiv: 1709.03591 · arxiv_version: 1709.03591v1 · doi: 10.48550/arxiv.1709.03591 · pith_short_12: I55BVZWR7C77 · pith_short_16: I55BVZWR7C77B5DI · pith_short_8: I55BVZWR

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/I55BVZWR7C77B5DIWWCCQW2HTG \
  | 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: 477a1ae6d1f8bff0f468b584285b479987629e62fd2b9e9edc86581ef676ba5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec896c46d32d4f06ab3af354498e867d8059b5c617da8e840d0a152086620506",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-11T20:50:55Z",
    "title_canon_sha256": "233fd5c706459737207a79e0a9a5a1851f334739a6e174ff999773585233a13a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03591",
    "kind": "arxiv",
    "version": 1
  }
}