Pith Number

pith:L3H2IH4I

pith:2024:L3H2IH4IIJ2RUC642TEX6ADTNQ

not attested not anchored not stored refs pending

Vinogradov's theorem for primes with restricted digits

James Leng, Mehtaab Sawhney

arxiv:2409.06894 v3 · 2024-09-10 · 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{L3H2IH4IIJ2RUC642TEX6ADTNQ}

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	2026-07-05T09:56:00.367161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ecfa41f8842751a0bdcd4c97f00736c1ce325ba03219aca6ac5a39aec5de181

Aliases

arxiv: 2409.06894 · arxiv_version: 2409.06894v3 · doi: 10.48550/arxiv.2409.06894 · pith_short_12: L3H2IH4IIJ2R · pith_short_16: L3H2IH4IIJ2RUC64 · pith_short_8: L3H2IH4I

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/L3H2IH4IIJ2RUC642TEX6ADTNQ \
  | 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: 5ecfa41f8842751a0bdcd4c97f00736c1ce325ba03219aca6ac5a39aec5de181

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "678d6d43dc586e0d30afd15a77d4403fb46481932947012e39901071996aa180",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-09-10T22:26:05Z",
    "title_canon_sha256": "75c96b10ab7a406faac20fe48a426aa03c92a67d487ef2036d6879be8dcc3f43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.06894",
    "kind": "arxiv",
    "version": 3
  }
}