Pith Number

pith:JPMH6JPL

pith:2016:JPMH6JPLQ2LRAGYJFJARJUB6KF

not attested not anchored not stored refs pending

Maximum of the Riemann zeta function on a short interval of the critical line

David Belius, Kannan Soundararajan, Louis-Pierre Arguin, Maksym Radziwi{\l}{\l}, Paul Bourgade

arxiv:1612.08575 v3 · 2016-12-27 · math.PR · 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{JPMH6JPLQ2LRAGYJFJARJUB6KF}

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	2026-05-18T00:26:08.402686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bd87f25eb8697101b092a4114d03e516b4531e9df196223a2686256b3ae6f8d

Aliases

arxiv: 1612.08575 · arxiv_version: 1612.08575v3 · doi: 10.48550/arxiv.1612.08575 · pith_short_12: JPMH6JPLQ2LR · pith_short_16: JPMH6JPLQ2LRAGYJ · pith_short_8: JPMH6JPL

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/JPMH6JPLQ2LRAGYJFJARJUB6KF \
  | 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: 4bd87f25eb8697101b092a4114d03e516b4531e9df196223a2686256b3ae6f8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "276603dbe2cf3451b22436e17b87805e7903ddacabc878681e870f00189fb54d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-27T11:14:49Z",
    "title_canon_sha256": "ca6b8629e82c04dd1fca6ea40a8c3ec26beec62700594b6c0e49a229bb4f5ecc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08575",
    "kind": "arxiv",
    "version": 3
  }
}