Pith Number

pith:OA5S2IMM

pith:2008:OA5S2IMM2NP2FAT7XYYMEOKG4X

not attested not anchored not stored refs pending

Exponential Squared Integrability for the Discrepancy Function in Two Dimensions

Armen Vagharshakyan, Dmitriy Bilyk, Ioannis Parissis, Michael T. Lacey

arxiv:0810.5544 v2 · 2008-10-30 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OA5S2IMM2NP2FAT7XYYMEOKG4X}

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	2026-05-18T03:10:46.223699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

703b2d218cd35fa2827fbe30c23946e5ed6a5082737af59f6744a856c43d9262

Aliases

arxiv: 0810.5544 · arxiv_version: 0810.5544v2 · doi: 10.48550/arxiv.0810.5544 · pith_short_12: OA5S2IMM2NP2 · pith_short_16: OA5S2IMM2NP2FAT7 · pith_short_8: OA5S2IMM

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/OA5S2IMM2NP2FAT7XYYMEOKG4X \
  | 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: 703b2d218cd35fa2827fbe30c23946e5ed6a5082737af59f6744a856c43d9262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "801eee873a5bac00de77fba0531a562ee23afa110b02944f5689caf5ce11c874",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-10-30T19:23:59Z",
    "title_canon_sha256": "25167314ecf4e916cd462dcdc90230402c42d6a4444445866201806269d54b18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.5544",
    "kind": "arxiv",
    "version": 2
  }
}