Pith Number

pith:WST5JSAL

pith:2017:WST5JSALNMQ24R7YKI2LD7AXML

not attested not anchored not stored refs pending

Pretty good state transfer in graphs with an involution

Gabor Lippner, Mark Kempton, Shing-Tung Yau

arxiv:1702.07000 v1 · 2017-02-22 · 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{WST5JSALNMQ24R7YKI2LD7AXML}

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	2026-05-18T00:50:08.723758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4a7d4c80b6b21ae47f85234b1fc1762e5f6685fe0dcdbaae37f05d6332b0b6c

Aliases

arxiv: 1702.07000 · arxiv_version: 1702.07000v1 · doi: 10.48550/arxiv.1702.07000 · pith_short_12: WST5JSALNMQ2 · pith_short_16: WST5JSALNMQ24R7Y · pith_short_8: WST5JSAL

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/WST5JSALNMQ24R7YKI2LD7AXML \
  | 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: b4a7d4c80b6b21ae47f85234b1fc1762e5f6685fe0dcdbaae37f05d6332b0b6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd52c948aa86ab47d64eb5ce1a0e532e1437c930d9c9366c02e47f07137cd6e7",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-22T20:51:34Z",
    "title_canon_sha256": "e8162956da92dad9747f3b51b81c7b31017b52370599a15bdbdd73a3faec2871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07000",
    "kind": "arxiv",
    "version": 1
  }
}