Pith Number

pith:74NUIB3V

pith:2022:74NUIB3VNY76MC3WEE57PNLET2

not attested not anchored not stored refs pending

Convergence of Adapted Empirical Measures on $\mathbb{R}^{d}$

Beatrice Acciaio, Songyan Hou

arxiv:2211.10162 v2 · 2022-11-18 · 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{74NUIB3VNY76MC3WEE57PNLET2}

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	2026-07-05T07:04:11.665632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff1b4407756e3fe60b76213bf7b5649e84dd15d55b6c692d2f473fc0edf1ed29

Aliases

arxiv: 2211.10162 · arxiv_version: 2211.10162v2 · doi: 10.48550/arxiv.2211.10162 · pith_short_12: 74NUIB3VNY76 · pith_short_16: 74NUIB3VNY76MC3W · pith_short_8: 74NUIB3V

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/74NUIB3VNY76MC3WEE57PNLET2 \
  | 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: ff1b4407756e3fe60b76213bf7b5649e84dd15d55b6c692d2f473fc0edf1ed29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ed75f6c8eeafde6882c6a33c03b12a0d2de41ee4d9e6df0a587237753498def",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-11-18T11:14:09Z",
    "title_canon_sha256": "118024285a899f72839ad24756a551c1c0305753db777faeb9d47f7bc8556a24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.10162",
    "kind": "arxiv",
    "version": 2
  }
}