Pith Number

pith:TLT3ROV6

pith:2013:TLT3ROV6DDZAZH5KG2B3HCK4MJ

not attested not anchored not stored refs pending

Inverse questions for the large sieve

Adam J. Harper, Ben J. Green

arxiv:1311.6176 v1 · 2013-11-24 · 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{TLT3ROV6DDZAZH5KG2B3HCK4MJ}

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	2026-05-18T03:06:14.704224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ae7b8babe18f20c9faa3683b3895c6271e08743db681f22f3cc42117db50cb1

Aliases

arxiv: 1311.6176 · arxiv_version: 1311.6176v1 · doi: 10.48550/arxiv.1311.6176 · pith_short_12: TLT3ROV6DDZA · pith_short_16: TLT3ROV6DDZAZH5K · pith_short_8: TLT3ROV6

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/TLT3ROV6DDZAZH5KG2B3HCK4MJ \
  | 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: 9ae7b8babe18f20c9faa3683b3895c6271e08743db681f22f3cc42117db50cb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f6520cbbc7f8255ec985845cf1f5af8f3f2208b3bc4ed0edd124b4f6c6a3bc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-24T22:03:47Z",
    "title_canon_sha256": "66aebbc6a1008d6d6fa17d0fd55e70de94547d06cbc3c893644f8d989b1c3084"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6176",
    "kind": "arxiv",
    "version": 1
  }
}