Pith Number

pith:UFTRMQ7W

pith:2014:UFTRMQ7WMKGTMLOKVZELAR5YW2

not attested not anchored not stored refs pending

Remarks on absolute continuity in the context of free probability and random matrices

Arijit Chakrabarty, Rajat Subhra Hazra

arxiv:1409.2217 v2 · 2014-09-08 · 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{UFTRMQ7WMKGTMLOKVZELAR5YW2}

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	2026-05-18T02:27:44.292905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1671643f6628d362dcaae48b047b8b694ad3c16bace4c83aeb1e42e7816f4ba

Aliases

arxiv: 1409.2217 · arxiv_version: 1409.2217v2 · doi: 10.48550/arxiv.1409.2217 · pith_short_12: UFTRMQ7WMKGT · pith_short_16: UFTRMQ7WMKGTMLOK · pith_short_8: UFTRMQ7W

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/UFTRMQ7WMKGTMLOKVZELAR5YW2 \
  | 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: a1671643f6628d362dcaae48b047b8b694ad3c16bace4c83aeb1e42e7816f4ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a90a62ec65048b55ec60aed351ca84e0707bec26d016c7f2b977e13f32326cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-08T06:29:50Z",
    "title_canon_sha256": "e96f6c2f247de5765ce0a06fa80c45535ec18a4d9e0b1c09f646ad36f6ad32b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2217",
    "kind": "arxiv",
    "version": 2
  }
}