Pith Number

pith:OBKY44UB

pith:2004:OBKY44UBQPN65PV6ASLVBWPPTW

not attested not anchored not stored refs pending

Measure concentration for Euclidean distance in the case of dependent random variables

Katalin Marton

arxiv:math/0410168 v1 · 2004-10-06 · 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{OBKY44UBQPN65PV6ASLVBWPPTW}

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	2026-05-18T01:05:25.781435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70558e728183dbeebebe049750d9ef9da2b0b9485163e8d67d65fd8f001a49ac

Aliases

arxiv: math/0410168 · arxiv_version: math/0410168v1 · doi: 10.48550/arxiv.math/0410168 · pith_short_12: OBKY44UBQPN6 · pith_short_16: OBKY44UBQPN65PV6 · pith_short_8: OBKY44UB

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/OBKY44UBQPN65PV6ASLVBWPPTW \
  | 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: 70558e728183dbeebebe049750d9ef9da2b0b9485163e8d67d65fd8f001a49ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61bff6a634bf4e74fd4c9173fa864441693dd9c34e2352d2c9a55216050c4561",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-10-06T15:37:52Z",
    "title_canon_sha256": "0ba2300c52808ec55c41f6cd6c83415c8b8b6bed2d1fdee544257dc05b0b3a42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410168",
    "kind": "arxiv",
    "version": 1
  }
}