Pith Number

pith:IXONQDSQ

pith:2013:IXONQDSQX5BDETFWDX2LHSYTKR

not attested not anchored not stored refs pending

Transport maps for Beta-matrix models and Universality

Alessio Figalli, Alice Guionnet, Florent Bekerman

arxiv:1311.2315 v4 · 2013-11-10 · 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{IXONQDSQX5BDETFWDX2LHSYTKR}

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	2026-05-18T02:28:48.131376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45dcd80e50bf42324cb61df4b3cb13547c939e31bbd516607a241184e5431ede

Aliases

arxiv: 1311.2315 · arxiv_version: 1311.2315v4 · doi: 10.48550/arxiv.1311.2315 · pith_short_12: IXONQDSQX5BD · pith_short_16: IXONQDSQX5BDETFW · pith_short_8: IXONQDSQ

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/IXONQDSQX5BDETFWDX2LHSYTKR \
  | 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: 45dcd80e50bf42324cb61df4b3cb13547c939e31bbd516607a241184e5431ede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f775011d9c436f64d7f23b4d59b9c612269d95c0bfd5aa549f6081bd79b0f114",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-10T22:59:45Z",
    "title_canon_sha256": "8c402a05bb7728aef14506ae46fdb3e7230fa4d047fdd1267ce4f594b79cf50e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2315",
    "kind": "arxiv",
    "version": 4
  }
}