Pith Number

pith:Q7OSAU4K

pith:2008:Q7OSAU4KWFXNVHEI73BUFT24L7

not attested not anchored not stored refs pending

Localized factorizations of integers

Dimitris Koukoulopoulos

arxiv:0809.1072 v6 · 2008-09-05 · 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{Q7OSAU4KWFXNVHEI73BUFT24L7}

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	2026-05-18T03:24:42.729643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87dd20538ab16eda9c88fec342cf5c5fc574165c1e4272f40142e4f5cd77b824

Aliases

arxiv: 0809.1072 · arxiv_version: 0809.1072v6 · doi: 10.48550/arxiv.0809.1072 · pith_short_12: Q7OSAU4KWFXN · pith_short_16: Q7OSAU4KWFXNVHEI · pith_short_8: Q7OSAU4K

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/Q7OSAU4KWFXNVHEI73BUFT24L7 \
  | 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: 87dd20538ab16eda9c88fec342cf5c5fc574165c1e4272f40142e4f5cd77b824

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d4460efc8f099a5944ca6216f078123d3172bdc3606212cbcdd134d2c4b2bf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-09-05T16:19:16Z",
    "title_canon_sha256": "47bcba96934fc48c68fbd4178f071a016ee93bddeb1c71840e81eb2a6e6fc2df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.1072",
    "kind": "arxiv",
    "version": 6
  }
}