Pith Number

pith:TB7OXYXF

pith:2017:TB7OXYXF7HGONFYN57ZFOVRLGN

not attested not anchored not stored refs pending

Prime divisors of sequences of integers

Xianzu Lin

arxiv:1706.09102 v2 · 2017-06-28 · 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{TB7OXYXF7HGONFYN57ZFOVRLGN}

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	2026-05-18T00:31:19.232988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

987eebe2e5f9cce6970deff257562b3377cb9641f0a9b3e56d5ccd85d9785ddd

Aliases

arxiv: 1706.09102 · arxiv_version: 1706.09102v2 · doi: 10.48550/arxiv.1706.09102 · pith_short_12: TB7OXYXF7HGO · pith_short_16: TB7OXYXF7HGONFYN · pith_short_8: TB7OXYXF

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/TB7OXYXF7HGONFYN57ZFOVRLGN \
  | 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: 987eebe2e5f9cce6970deff257562b3377cb9641f0a9b3e56d5ccd85d9785ddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "437e2807259b4e11295c29e09e417e34f0ae63b39180a91a6f61e494ada6858a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-28T02:14:03Z",
    "title_canon_sha256": "8709eba052000938e1fc18a696bd31f5f03a106d4844ca47972d90262dfcfeaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09102",
    "kind": "arxiv",
    "version": 2
  }
}