Pith Number

pith:IASSX4ZN

pith:2017:IASSX4ZNPYSFE65GLPXSHBR7LO

not attested not anchored not stored refs pending

Average mixing matrix of trees

Chris Godsil, John Sinkovic, Krystal Guo

arxiv:1709.07907 v1 · 2017-09-22 · 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{IASSX4ZNPYSFE65GLPXSHBR7LO}

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	2026-05-18T00:34:28.593167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40252bf32d7e24527ba65bef23863f5bb6136b654c75398c081ec8262b7d34d3

Aliases

arxiv: 1709.07907 · arxiv_version: 1709.07907v1 · doi: 10.48550/arxiv.1709.07907 · pith_short_12: IASSX4ZNPYSF · pith_short_16: IASSX4ZNPYSFE65G · pith_short_8: IASSX4ZN

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/IASSX4ZNPYSFE65GLPXSHBR7LO \
  | 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: 40252bf32d7e24527ba65bef23863f5bb6136b654c75398c081ec8262b7d34d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8267175ae52d2625e4fdd037a07d4a0add2e10715248ed9bd6d8d9141094d02",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-22T18:47:26Z",
    "title_canon_sha256": "023eb68f97b0441359b908e73be014fa52ccbdd8175804d8a8a3391424cb662b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07907",
    "kind": "arxiv",
    "version": 1
  }
}