Pith Number

pith:VDDQITCF

pith:2017:VDDQITCFLJKDSI7LESUSLZBGFT

not attested not anchored not stored refs pending

Explicit estimates for the distribution of numbers free of large prime factors

Carl Pomerance, Jared D. Lichtman

arxiv:1705.02442 v1 · 2017-05-06 · 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{VDDQITCFLJKDSI7LESUSLZBGFT}

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	2026-05-17T23:56:55.969693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8c7044c455a543923eb24a925e4262cc3e961d92ae30ac59f53d0888bbf3feb

Aliases

arxiv: 1705.02442 · arxiv_version: 1705.02442v1 · doi: 10.48550/arxiv.1705.02442 · pith_short_12: VDDQITCFLJKD · pith_short_16: VDDQITCFLJKDSI7L · pith_short_8: VDDQITCF

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/VDDQITCFLJKDSI7LESUSLZBGFT \
  | 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: a8c7044c455a543923eb24a925e4262cc3e961d92ae30ac59f53d0888bbf3feb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "730cf7dd44b9ad1aeac6ef7fb499bd9c120b243feef3079ff9691f81232d69e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-06T04:21:58Z",
    "title_canon_sha256": "a25a84e6f55b200afff2a3157486f376ea656ceedb389402294895d5553d277d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02442",
    "kind": "arxiv",
    "version": 1
  }
}