Pith Number

pith:7RKBS3SS

pith:2012:7RKBS3SS4R2WVRHKACUFV24V37

not attested not anchored not stored refs pending

The Supremum Norm of the Discrepancy Function: Recent Results and Connections

Dmitriy Bilyk, Michael T Lacey

arxiv:1207.6659 v2 · 2012-07-27 · math.CA · 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{7RKBS3SS4R2WVRHKACUFV24V37}

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	2026-05-18T01:34:30.289390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc54196e52e4756ac4ea00a85aeb95dfe9763bb76ba7cfead2a5e9cb2625bb12

Aliases

arxiv: 1207.6659 · arxiv_version: 1207.6659v2 · doi: 10.48550/arxiv.1207.6659 · pith_short_12: 7RKBS3SS4R2W · pith_short_16: 7RKBS3SS4R2WVRHK · pith_short_8: 7RKBS3SS

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/7RKBS3SS4R2WVRHKACUFV24V37 \
  | 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: fc54196e52e4756ac4ea00a85aeb95dfe9763bb76ba7cfead2a5e9cb2625bb12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "761e6ea26e8109611ab5be44dcde85564325fa46bd091766dcda8703c79f80b9",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-07-27T21:53:53Z",
    "title_canon_sha256": "06f85ca0883d8be4503e50630598ab6ffcf6d466dbf67c9e21c7eff9d907ee7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6659",
    "kind": "arxiv",
    "version": 2
  }
}