Pith Number

pith:AMKJ2SOR

pith:2018:AMKJ2SOR7752EXBK7FS7EG4KQJ

not attested not anchored not stored refs pending

The discrepancy of $(n_kx)$ with respect to certain probability measures

Agamemnon Zafeiropoulos, Niclas Technau

arxiv:1812.06293 v2 · 2018-12-15 · 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{AMKJ2SOR7752EXBK7FS7EG4KQJ}

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	2026-05-17T23:44:07.367422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03149d49d1fffba25c2af965f21b8a825c88475fe4b2cf2986accbbf66056c91

Aliases

arxiv: 1812.06293 · arxiv_version: 1812.06293v2 · doi: 10.48550/arxiv.1812.06293 · pith_short_12: AMKJ2SOR7752 · pith_short_16: AMKJ2SOR7752EXBK · pith_short_8: AMKJ2SOR

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/AMKJ2SOR7752EXBK7FS7EG4KQJ \
  | 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: 03149d49d1fffba25c2af965f21b8a825c88475fe4b2cf2986accbbf66056c91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42d6f6d6c5f8eb3b54953cab280eb984330bef5656e781601b0fc1d7013fe312",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-15T14:18:38Z",
    "title_canon_sha256": "00da2b5cd8827751d15a984288d1e875bf0a061c724a12c8b42b5ad0866caa9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06293",
    "kind": "arxiv",
    "version": 2
  }
}