Pith Number

pith:WD4UYMXO

pith:2017:WD4UYMXON3C5PNQWJ7ACAIFAVI

not attested not anchored not stored refs pending

Odd order cases of the logarithmically averaged Chowla conjecture

Joni Ter\"av\"ainen, Terence Tao

arxiv:1710.02112 v1 · 2017-10-05 · 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{WD4UYMXON3C5PNQWJ7ACAIFAVI}

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	2026-05-17T23:46:11.296256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f94c32ee6ec5d7b6164fc02020a0aa1b602515d5060871f3e47166254de178

Aliases

arxiv: 1710.02112 · arxiv_version: 1710.02112v1 · doi: 10.48550/arxiv.1710.02112 · pith_short_12: WD4UYMXON3C5 · pith_short_16: WD4UYMXON3C5PNQW · pith_short_8: WD4UYMXO

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/WD4UYMXON3C5PNQWJ7ACAIFAVI \
  | 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: b0f94c32ee6ec5d7b6164fc02020a0aa1b602515d5060871f3e47166254de178

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a7bb18c875ab4f947a860adbf0b2abca8acd201fdd03b433dbfa1144e798b9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-05T16:55:31Z",
    "title_canon_sha256": "4b4369b48c884c78785dae1f68a027fae455030e3e6b38b824f583cd802ab3ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02112",
    "kind": "arxiv",
    "version": 1
  }
}