Pith Number

pith:RQYCWETG

pith:2005:RQYCWETG3LE5DMH6MT2XAW3QYG

not attested not anchored not stored refs pending

Quantitative concentration inequalities for empirical measures on non-compact spaces

Arnaud Guillin, Cedric Villani, Francois Bolley

arxiv:math/0503123 v1 · 2005-03-07 · 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{RQYCWETG3LE5DMH6MT2XAW3QYG}

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	2026-05-18T03:12:58.402727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c302b1266dac9d1b0fe64f5705b70c183ef9dd00b1c2f662d5548ae08901a64

Aliases

arxiv: math/0503123 · arxiv_version: math/0503123v1 · doi: 10.48550/arxiv.math/0503123 · pith_short_12: RQYCWETG3LE5 · pith_short_16: RQYCWETG3LE5DMH6 · pith_short_8: RQYCWETG

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/RQYCWETG3LE5DMH6MT2XAW3QYG \
  | 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: 8c302b1266dac9d1b0fe64f5705b70c183ef9dd00b1c2f662d5548ae08901a64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25e34e09f408bf9d5a234469cdbdfba5ec85483fe06231dd070e3ecc30d115c5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-03-07T12:36:13Z",
    "title_canon_sha256": "7fec44de24bca044731028ea0ebf9e4e22eca7143d2ad69813cb1299a157e9fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503123",
    "kind": "arxiv",
    "version": 1
  }
}