Pith Number

pith:XUKC5ZIE

pith:2018:XUKC5ZIE77AGPP6P25UPZOT6HE

not attested not anchored not stored refs pending

Linnik's problems and maximal entropy methods

Andreas Wieser

arxiv:1801.09012 v2 · 2018-01-27 · math.DS · 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{XUKC5ZIE77AGPP6P25UPZOT6HE}

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	2026-05-17T23:56:15.367708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd142ee504ffc067bfcfd768fcba7e39320d85b9229779f8a2bf16e57a172cb3

Aliases

arxiv: 1801.09012 · arxiv_version: 1801.09012v2 · doi: 10.48550/arxiv.1801.09012 · pith_short_12: XUKC5ZIE77AG · pith_short_16: XUKC5ZIE77AGPP6P · pith_short_8: XUKC5ZIE

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/XUKC5ZIE77AGPP6P25UPZOT6HE \
  | 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: bd142ee504ffc067bfcfd768fcba7e39320d85b9229779f8a2bf16e57a172cb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b55b65d4d362adbdf5da28897e25288b5d6f5278532636fd053df6f49a99043",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-01-27T00:35:57Z",
    "title_canon_sha256": "b51a54f199f4e0d62d3561e12cfbf73fdc6026f8780d5e14ccbd7f678b73a05b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09012",
    "kind": "arxiv",
    "version": 2
  }
}