Pith Number

pith:TY3A5XMO

pith:2013:TY3A5XMOZ3CZHRZ4XSP7JTHYGT

not attested not anchored not stored refs pending

A note on the theorem of Maynard and Tao

Tristan Freiberg

arxiv:1311.5319 v1 · 2013-11-21 · 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{TY3A5XMOZ3CZHRZ4XSP7JTHYGT}

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	2026-05-18T03:06:33.682195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e360edd8ecec593c73cbc9ff4ccf834c46933030c64a261c6501aff770d3855

Aliases

arxiv: 1311.5319 · arxiv_version: 1311.5319v1 · doi: 10.48550/arxiv.1311.5319 · pith_short_12: TY3A5XMOZ3CZ · pith_short_16: TY3A5XMOZ3CZHRZ4 · pith_short_8: TY3A5XMO

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/TY3A5XMOZ3CZHRZ4XSP7JTHYGT \
  | 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: 9e360edd8ecec593c73cbc9ff4ccf834c46933030c64a261c6501aff770d3855

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11f04f57c61e28bd4542098254396018ae5994f65c8ecfe8f704d7cd6a7b9bb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-21T06:49:30Z",
    "title_canon_sha256": "813d55a2e2af3beac534279ebd2ef525b57cdbe97263d76b315c77305ae905fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5319",
    "kind": "arxiv",
    "version": 1
  }
}