Pith Number

pith:VXIQLXG4

pith:2011:VXIQLXG4JX4XBXX44NWSOOEJ75

not attested not anchored not stored refs pending

Spectral distribution of the free unitary Brownian motion: another approach

Nizar Demni (IRMAR), Taoufik Hmidi (IRMAR)

arxiv:1103.4693 v1 · 2011-03-24 · math.OA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXIQLXG4JX4XBXX44NWSOOEJ75}

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	2026-05-18T04:26:01.070058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

add105dcdc4df970defce36d273889ff74aed3d757966abdcb6ad47e58c47442

Aliases

arxiv: 1103.4693 · arxiv_version: 1103.4693v1 · doi: 10.48550/arxiv.1103.4693 · pith_short_12: VXIQLXG4JX4X · pith_short_16: VXIQLXG4JX4XBXX4 · pith_short_8: VXIQLXG4

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/VXIQLXG4JX4XBXX44NWSOOEJ75 \
  | 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: add105dcdc4df970defce36d273889ff74aed3d757966abdcb6ad47e58c47442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab002d31da4e99153ef81929f578496e8bdfc79b8b9422938f5f679899af3ea8",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-03-24T08:06:16Z",
    "title_canon_sha256": "3cf9f9f00a1ba8e13fd8d832c62599fcc7f4acff473f95fc70ecb5282f3bb541"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4693",
    "kind": "arxiv",
    "version": 1
  }
}