Pith Number

pith:PXCWGU7B

pith:2017:PXCWGU7B7MC6S4TZ3CST6VKJC4

not attested not anchored not stored refs pending

Weingarten calculus via orthogonality relations: new applications

Beno\^it Collins, Sho Matsumoto

arxiv:1701.04493 v2 · 2017-01-17 · math.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXCWGU7B7MC6S4TZ3CST6VKJC4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

Distributions of Noisy Expectation Values over Sets of Measurement Operators

Receipt and verification

First computed	2026-05-17T23:52:44.570154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dc56353e1fb05e97279d8a53f554917260980b9788039760e3b7617d5d53ef4

Aliases

arxiv: 1701.04493 · arxiv_version: 1701.04493v2 · doi: 10.48550/arxiv.1701.04493 · pith_short_12: PXCWGU7B7MC6 · pith_short_16: PXCWGU7B7MC6S4TZ · pith_short_8: PXCWGU7B

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/PXCWGU7B7MC6S4TZ3CST6VKJC4 \
  | 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: 7dc56353e1fb05e97279d8a53f554917260980b9788039760e3b7617d5d53ef4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c39e0f779f587344391d0d36ecda0ba1e3c742337cad27487d1d6d6058ef95ac",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-17T00:37:08Z",
    "title_canon_sha256": "f34d3f37f97f314354d551819aaec0329732babce9df5261fe01cdadefbe6302"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04493",
    "kind": "arxiv",
    "version": 2
  }
}