Pith Number

pith:IHRUCLZD

pith:2015:IHRUCLZDXKNL3VBC4TQJUQP5RK

not attested not anchored not stored refs pending

The logarithmically averaged Chowla and Elliott conjectures for two-point correlations

Terence Tao

arxiv:1509.05422 v4 · 2015-09-17 · 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{IHRUCLZDXKNL3VBC4TQJUQP5RK}

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	2026-05-18T01:10:18.317483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41e3412f23ba9abdd422e4e09a41fd8aac4926781443ac500d1f017a844e355d

Aliases

arxiv: 1509.05422 · arxiv_version: 1509.05422v4 · doi: 10.48550/arxiv.1509.05422 · pith_short_12: IHRUCLZDXKNL · pith_short_16: IHRUCLZDXKNL3VBC · pith_short_8: IHRUCLZD

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/IHRUCLZDXKNL3VBC4TQJUQP5RK \
  | 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: 41e3412f23ba9abdd422e4e09a41fd8aac4926781443ac500d1f017a844e355d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37ba85f8765d4330b80ef90e2123aab5de14d27e60b133fe1b1bc6477818b853",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-17T20:17:58Z",
    "title_canon_sha256": "f801cd3002bf0df2d6a957033897abf33f4d7d31cb75eb637b0694586f14d618"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05422",
    "kind": "arxiv",
    "version": 4
  }
}