Pith Number

pith:I3ZOZRSP

pith:2016:I3ZOZRSP5ZF5V62WDY3CQIB74Q

not attested not anchored not stored refs pending

A randomized version of the Littlewood Conjecture

Alan Haynes, Henna Koivusalo

arxiv:1610.08007 v2 · 2016-10-25 · 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{I3ZOZRSP5ZF5V62WDY3CQIB74Q}

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	2026-05-18T01:01:08.011700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46f2ecc64fee4bdafb561e3628203fe42940330663548f29a8058f6c251be703

Aliases

arxiv: 1610.08007 · arxiv_version: 1610.08007v2 · doi: 10.48550/arxiv.1610.08007 · pith_short_12: I3ZOZRSP5ZF5 · pith_short_16: I3ZOZRSP5ZF5V62W · pith_short_8: I3ZOZRSP

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/I3ZOZRSP5ZF5V62WDY3CQIB74Q \
  | 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: 46f2ecc64fee4bdafb561e3628203fe42940330663548f29a8058f6c251be703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c43fb95dcc7575c12652862e62253c5511a281f7314748ec9c51f8932772e813",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-25T18:33:04Z",
    "title_canon_sha256": "8f6231e176a74b275297e95cc8e14d98c04e5b04e8be4ba4fc968b642eeb8089"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08007",
    "kind": "arxiv",
    "version": 2
  }
}