Pith Number

pith:UWDIPB4E

pith:2015:UWDIPB4EUYCZB5YFOJBLQGF2OF

not attested not anchored not stored refs pending

Primes in explicit short intervals on RH

Adrian Dudek, Giuseppe Molteni, Lo\"ic Greni\'e

arxiv:1503.05403 v2 · 2015-02-24 · 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{UWDIPB4EUYCZB5YFOJBLQGF2OF}

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	2026-05-18T01:31:11.226577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a586878784a60590f7057242b818ba715a68bbf79218f576d09eb73dca44e560

Aliases

arxiv: 1503.05403 · arxiv_version: 1503.05403v2 · doi: 10.48550/arxiv.1503.05403 · pith_short_12: UWDIPB4EUYCZ · pith_short_16: UWDIPB4EUYCZB5YF · pith_short_8: UWDIPB4E

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/UWDIPB4EUYCZB5YFOJBLQGF2OF \
  | 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: a586878784a60590f7057242b818ba715a68bbf79218f576d09eb73dca44e560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2e26a7da02bcab980da22cd65d03e00863fefc20d83e93fd54fb722058452b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-02-24T20:28:53Z",
    "title_canon_sha256": "490712f34a3048d00f2ec28b4a6c2e4c2844bc2214a688b0623c52e015440b1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05403",
    "kind": "arxiv",
    "version": 2
  }
}