Pith Number

pith:7PDXSCWI

pith:2015:7PDXSCWIHATUJXZQ4W5FIVGZ2I

not attested not anchored not stored refs pending

From Random Matrix Theory to Coding Theory: Volume of a Metric Ball in Unitary Group

Jukka Corander, Lu wei, Olav Tirkkonen, Renaud-Alexandre Pitaval

arxiv:1506.07259 v1 · 2015-06-24 · cs.IT · math-ph · math.IT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PDXSCWIHATUJXZQ4W5FIVGZ2I}

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	2026-05-18T01:39:54.446494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc7790ac8382744df30e5ba5454d9d21582ce45d1b55457671cff1078918b34

Aliases

arxiv: 1506.07259 · arxiv_version: 1506.07259v1 · doi: 10.48550/arxiv.1506.07259 · pith_short_12: 7PDXSCWIHATU · pith_short_16: 7PDXSCWIHATUJXZQ · pith_short_8: 7PDXSCWI

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/7PDXSCWIHATUJXZQ4W5FIVGZ2I \
  | 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: fbc7790ac8382744df30e5ba5454d9d21582ce45d1b55457671cff1078918b34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f86c5385c71882f15b16b9f827a63c791afff98aae4842bd355ab179614bcd13",
    "cross_cats_sorted": [
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-06-24T06:59:09Z",
    "title_canon_sha256": "454bf3eb759be0864e795bad6abf4c1355facb7bedbe7b2fab35086479a16ea3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07259",
    "kind": "arxiv",
    "version": 1
  }
}