Pith Number

pith:IWB242JK

pith:2010:IWB242JK3JNLBU6PWMILWMZLW6

not attested not anchored not stored refs pending

Perfect state transfer, graph products and equitable partitions

Benjamin Greenberg, Christino Tamon, Oscar Perez, Yang Ge

arxiv:1009.1340 v1 · 2010-09-07 · quant-ph · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IWB242JK3JNLBU6PWMILWMZLW6}

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	2026-05-18T04:16:32.163017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4583ae692ada5ab0d3cfb310bb332bb785aa46853db400a32beb5c7cbcf9710b

Aliases

arxiv: 1009.1340 · arxiv_version: 1009.1340v1 · doi: 10.48550/arxiv.1009.1340 · pith_short_12: IWB242JK3JNL · pith_short_16: IWB242JK3JNLBU6P · pith_short_8: IWB242JK

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/IWB242JK3JNLBU6PWMILWMZLW6 \
  | 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: 4583ae692ada5ab0d3cfb310bb332bb785aa46853db400a32beb5c7cbcf9710b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad65103c065a09ee35ee438244a6a43bcea4889490a77216e3d7382c98f92539",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-09-07T16:54:40Z",
    "title_canon_sha256": "005b204e935bf540d5ac8d434bd6e37e9ddb51572db0c0ab292b74b4d7d6b1ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1340",
    "kind": "arxiv",
    "version": 1
  }
}