Pith Number

pith:7BYTWO74

pith:2013:7BYTWO74JVXFTZRXEU7ABQKDKS

not attested not anchored not stored refs pending

Dichotomy Results for the L1 Norm of the Discrepancy Function

Dmitriy Bilyk, Gagik Amirkhanyan, Michael T Lacey

arxiv:1306.1761 v2 · 2013-06-07 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7BYTWO74JVXFTZRXEU7ABQKDKS}

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	2026-05-18T01:34:30.267466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8713b3bfc4d6e59e637253e00c143548df134ee5400928b6431caeced14fbd0

Aliases

arxiv: 1306.1761 · arxiv_version: 1306.1761v2 · doi: 10.48550/arxiv.1306.1761 · pith_short_12: 7BYTWO74JVXF · pith_short_16: 7BYTWO74JVXFTZRX · pith_short_8: 7BYTWO74

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/7BYTWO74JVXFTZRXEU7ABQKDKS \
  | 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: f8713b3bfc4d6e59e637253e00c143548df134ee5400928b6431caeced14fbd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25bab8cfb1dc58ca60f900c3ac6931bb7315ae36028ed9ab75113980b2eb1edb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-07T16:14:59Z",
    "title_canon_sha256": "7b54c263e55d962f015153ceeb410bc94d2a6a33ad685af02692520294b20456"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1761",
    "kind": "arxiv",
    "version": 2
  }
}