Pith Number

pith:WDZJWC7L

pith:2016:WDZJWC7LSMECOMP5S4VW4WTM3M

not attested not anchored not stored refs pending

Explicit Short Intervals for Primes in Arithmetic Progressions on GRH

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

arxiv:1606.08616 v2 · 2016-06-28 · 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{WDZJWC7LSMECOMP5S4VW4WTM3M}

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	2026-05-17T23:56:30.434546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f29b0beb93082731fd972b6e5a6cdb206ccc89be0b114b1f07c5e050492c3b

Aliases

arxiv: 1606.08616 · arxiv_version: 1606.08616v2 · doi: 10.48550/arxiv.1606.08616 · pith_short_12: WDZJWC7LSMEC · pith_short_16: WDZJWC7LSMECOMP5 · pith_short_8: WDZJWC7L

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/WDZJWC7LSMECOMP5S4VW4WTM3M \
  | 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: b0f29b0beb93082731fd972b6e5a6cdb206ccc89be0b114b1f07c5e050492c3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5fa52056273027e1d40948d4cb9cfc7dba444aeb9c178a37dd68d9a1df9a805",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-28T08:55:58Z",
    "title_canon_sha256": "6b56e16bd0bfc64fec8b4b1096816e75646800209ece3bc9597c9da44d361b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08616",
    "kind": "arxiv",
    "version": 2
  }
}