Pith Number

pith:AYHBYUW4

pith:2015:AYHBYUW45UK2B4QHLIBXPGLNRN

not attested not anchored not stored refs pending

Perfect state transfer in products and covers of graphs

Chris Godsil, Gabriel Coutinho

arxiv:1501.04396 v3 · 2015-01-19 · 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{AYHBYUW45UK2B4QHLIBXPGLNRN}

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	2026-05-18T00:15:10.901386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

060e1c52dced15a0f2075a0377996d8b7bff4f11c6a307e740298a3b4408cf02

Aliases

arxiv: 1501.04396 · arxiv_version: 1501.04396v3 · doi: 10.48550/arxiv.1501.04396 · pith_short_12: AYHBYUW45UK2 · pith_short_16: AYHBYUW45UK2B4QH · pith_short_8: AYHBYUW4

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/AYHBYUW45UK2B4QHLIBXPGLNRN \
  | 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: 060e1c52dced15a0f2075a0377996d8b7bff4f11c6a307e740298a3b4408cf02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b98d54c302c51d2d1666ea9152b99e30d80f99095770247325e603ce636bb19b",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-19T06:10:30Z",
    "title_canon_sha256": "36da4b0360df333ac4ca627ec69413119ab4a2a63b4ae355cfff895f1c1238c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04396",
    "kind": "arxiv",
    "version": 3
  }
}