Pith Number

pith:2MC25EPY

pith:2016:2MC25EPYRUWFUWBWZ3KVRUQ6FU

not attested not anchored not stored refs pending

Thinning and conditioning of the Circular Unitary Ensemble

Christophe Charlier, Tom Claeys

arxiv:1604.08399 v1 · 2016-04-28 · math-ph · math.CV · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MC25EPYRUWFUWBWZ3KVRUQ6FU}

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	2026-05-18T00:38:13.960414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d305ae91f88d2c5a5836ced558d21e2d199ef03ed0e4153ade39b13d33de9fe2

Aliases

arxiv: 1604.08399 · arxiv_version: 1604.08399v1 · doi: 10.48550/arxiv.1604.08399 · pith_short_12: 2MC25EPYRUWF · pith_short_16: 2MC25EPYRUWFUWBW · pith_short_8: 2MC25EPY

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/2MC25EPYRUWFUWBWZ3KVRUQ6FU \
  | 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: d305ae91f88d2c5a5836ced558d21e2d199ef03ed0e4153ade39b13d33de9fe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2db975c887668d71379278293dc33eeece17d3b859e483115da64dcd4504269",
    "cross_cats_sorted": [
      "math.CV",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-04-28T13:10:11Z",
    "title_canon_sha256": "16b0f1ca0f8c25e28564c6c3b95c331c0eb3ee0b9bfae57b9672d4301c52e9ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08399",
    "kind": "arxiv",
    "version": 1
  }
}