Pith Number

pith:7MOXCEFB

pith:2012:7MOXCEFBSMOESA6AW74JOBQCTH

not attested not anchored not stored refs pending

The Duffin-Schaeffer Conjecture with extra divergence II

Alan Haynes, Glyn Harman, Sanju Velani, Victor Beresnevich

arxiv:1201.1210 v1 · 2012-01-05 · 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{7MOXCEFBSMOESA6AW74JOBQCTH}

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	2026-05-18T04:05:05.707662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb1d7110a1931c4903c0b7f897060299e0c5c30d370d1b66ae24ec401e6ffc1a

Aliases

arxiv: 1201.1210 · arxiv_version: 1201.1210v1 · doi: 10.48550/arxiv.1201.1210 · pith_short_12: 7MOXCEFBSMOE · pith_short_16: 7MOXCEFBSMOESA6A · pith_short_8: 7MOXCEFB

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/7MOXCEFBSMOESA6AW74JOBQCTH \
  | 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: fb1d7110a1931c4903c0b7f897060299e0c5c30d370d1b66ae24ec401e6ffc1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ffa1ea5bd1f996aea96dac5d09ff3716e38c22417f3f7c6caa755caa5ee27fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-05T16:22:35Z",
    "title_canon_sha256": "e7dd5226a3d7b38699dc877f31fe70fe8423dbda06125ba0183c00efe7969cc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1210",
    "kind": "arxiv",
    "version": 1
  }
}