Pith Number

pith:3A6JYUQU

pith:2006:3A6JYUQUFJYPKL5DFRYH7UOD3T

not attested not anchored not stored refs pending

Small gaps between prime numbers: The work of Goldston-Pintz-Yildirim

K. Soundararajan

arxiv:math/0605696 v1 · 2006-05-27 · 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{3A6JYUQUFJYPKL5DFRYH7UOD3T}

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	2026-07-04T14:55:06.373167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d83c9c52142a70f52fa32c707fd1c3dcd102fc5f27434780b44963525b6461f3

Aliases

arxiv: math/0605696 · arxiv_version: math/0605696v1 · doi: 10.48550/arxiv.math/0605696 · pith_short_12: 3A6JYUQUFJYP · pith_short_16: 3A6JYUQUFJYPKL5D · pith_short_8: 3A6JYUQU

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/3A6JYUQUFJYPKL5DFRYH7UOD3T \
  | 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: d83c9c52142a70f52fa32c707fd1c3dcd102fc5f27434780b44963525b6461f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6561d399e79e154966cd8e0742e5d91fc97d08f275ad08f1da02695968071e95",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-05-27T15:06:20Z",
    "title_canon_sha256": "be35e5e071354448916300f121b23fdcdf916e616a638d2442df72d51afe43d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605696",
    "kind": "arxiv",
    "version": 1
  }
}