Pith Number

pith:U23VS7BA

pith:2017:U23VS7BA3ST7SBHIG7IL2LJEIP

not attested not anchored not stored refs pending

A remark on Sarnak's conjecture

G\'erald Tenenbaum, R\'egis de la Bret\`eche

arxiv:1709.01194 v1 · 2017-09-04 · 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{U23VS7BA3ST7SBHIG7IL2LJEIP}

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	2026-05-18T00:36:00.682036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6b7597c20dca7f904e837d0bd2d2443d8879ee030adcaa7afbacb1757c3b9b3

Aliases

arxiv: 1709.01194 · arxiv_version: 1709.01194v1 · doi: 10.48550/arxiv.1709.01194 · pith_short_12: U23VS7BA3ST7 · pith_short_16: U23VS7BA3ST7SBHI · pith_short_8: U23VS7BA

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/U23VS7BA3ST7SBHIG7IL2LJEIP \
  | 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: a6b7597c20dca7f904e837d0bd2d2443d8879ee030adcaa7afbacb1757c3b9b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "060a958ed3b055c3c6e7e3308591beb3d68fd33ddc0001fa4e8a30ec9dc3a670",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-04T23:36:05Z",
    "title_canon_sha256": "1fb990828415d9c3929e3e40f754d3b01bfc733a1577f7821de1f9448537b1d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01194",
    "kind": "arxiv",
    "version": 1
  }
}