Pith Number

pith:BKIXCFMW

pith:2011:BKIXCFMWIAE3Y3GNIP5LWEEPJB

not attested not anchored not stored refs pending

Average mixing of continuous quantum walks

Chris Godsil

arxiv:1103.2578 v3 · 2011-03-14 · 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{BKIXCFMWIAE3Y3GNIP5LWEEPJB}

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	2026-05-18T04:11:51.591464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a917115964009bc6ccd43fabb108f48420cc8a9031d9d75b77abd1e67c15120

Aliases

arxiv: 1103.2578 · arxiv_version: 1103.2578v3 · doi: 10.48550/arxiv.1103.2578 · pith_short_12: BKIXCFMWIAE3 · pith_short_16: BKIXCFMWIAE3Y3GN · pith_short_8: BKIXCFMW

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/BKIXCFMWIAE3Y3GNIP5LWEEPJB \
  | 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: 0a917115964009bc6ccd43fabb108f48420cc8a9031d9d75b77abd1e67c15120

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0653df9e2d39b5798a3fcd207ecd7b798215aa96dd69c5320148862006966c6",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-14T03:21:26Z",
    "title_canon_sha256": "a36ab7119a7b1ed38cfcfafc56e562af1ca82ae913b898d619c937e38392ce1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2578",
    "kind": "arxiv",
    "version": 3
  }
}