Pith Number

pith:AJRARHW5

pith:2016:AJRARHW5IL3YM3DOVDV23NFHPU

not attested not anchored not stored refs pending

Equivalence of the logarithmically averaged Chowla and Sarnak conjectures

Terence Tao

arxiv:1605.04628 v1 · 2016-05-16 · 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{AJRARHW5IL3YM3DOVDV23NFHPU}

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	2026-05-18T01:14:46.685653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0262089edd42f7866c6ea8ebadb4a77d29c0ab48db2cf944bad60661e3978df8

Aliases

arxiv: 1605.04628 · arxiv_version: 1605.04628v1 · doi: 10.48550/arxiv.1605.04628 · pith_short_12: AJRARHW5IL3Y · pith_short_16: AJRARHW5IL3YM3DO · pith_short_8: AJRARHW5

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/AJRARHW5IL3YM3DOVDV23NFHPU \
  | 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: 0262089edd42f7866c6ea8ebadb4a77d29c0ab48db2cf944bad60661e3978df8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3191bad4087926d621130e153647d2832abe64aad7cd417d907450a58d458c79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-16T01:39:46Z",
    "title_canon_sha256": "fb97ed8c7cfc4e5002b4b5bd2c436bd0aa78a2e85e7b2d5d7b206a3ea21ec75d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04628",
    "kind": "arxiv",
    "version": 1
  }
}