Pith Number

pith:T36YZZTU

pith:2013:T36YZZTUGFYCGBDQQXI2QYQXZS

not attested not anchored not stored refs pending

On the optimal weight function in the Goldston-Pintz-Yildirim method for finding small gaps between consecutive primes

B\'alint Farkas, J\'anos Pintz, Szil\'ard R\'ev\'esz

arxiv:1306.2133 v1 · 2013-06-10 · 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{T36YZZTUGFYCGBDQQXI2QYQXZS}

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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	2026-05-18T03:21:22.251700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9efd8ce674317023047085d1a86217ccb35501a96820a084520494ea987408a5

Aliases

arxiv: 1306.2133 · arxiv_version: 1306.2133v1 · doi: 10.48550/arxiv.1306.2133 · pith_short_12: T36YZZTUGFYC · pith_short_16: T36YZZTUGFYCGBDQ · pith_short_8: T36YZZTU

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/T36YZZTUGFYCGBDQQXI2QYQXZS \
  | 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: 9efd8ce674317023047085d1a86217ccb35501a96820a084520494ea987408a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed21cb90321bd9f9edcef44155d890cdd903a6b68172f1c43a22e6d56e2224a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-10T08:19:21Z",
    "title_canon_sha256": "6b97c821375270aff69086ff297ea7d9d0dc00ebbd1c0ad6abd10ec11fa2ec35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2133",
    "kind": "arxiv",
    "version": 1
  }
}