Pith Number

pith:Y3AIUCYQ

pith:2006:Y3AIUCYQKLKAFOS7ZQR5WFJK2U

not attested not anchored not stored refs pending

Borel theorems for random matrices from the classical compact symmetric spaces

Beno\^it Collins, Michael Stolz

arxiv:math/0611708 v2 · 2006-11-22 · 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{Y3AIUCYQKLKAFOS7ZQR5WFJK2U}

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	2026-05-18T01:08:49.418243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6c08a0b1052d402ba5fcc23db152ad500039c358da33241483c3ed6b25d94cd

Aliases

arxiv: math/0611708 · arxiv_version: math/0611708v2 · doi: 10.48550/arxiv.math/0611708 · pith_short_12: Y3AIUCYQKLKA · pith_short_16: Y3AIUCYQKLKAFOS7 · pith_short_8: Y3AIUCYQ

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/Y3AIUCYQKLKAFOS7ZQR5WFJK2U \
  | 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: c6c08a0b1052d402ba5fcc23db152ad500039c358da33241483c3ed6b25d94cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b66c94bad0f13991767af7de8ec75c79cd96f060af4345782692572df8427cd5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-11-22T20:31:06Z",
    "title_canon_sha256": "0f400ad5848bda4cb2c860261c0f74277de28c287f8ed831430be4324c1f26cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611708",
    "kind": "arxiv",
    "version": 2
  }
}