Pith Number

pith:W3MCPXLW

pith:2017:W3MCPXLW76AYKJROIKUQPLV3HU

not attested not anchored not stored refs pending

The $a$-values of the Riemann zeta function near the critical line

Junsoo Ha, Yoonbok Lee

arxiv:1711.08928 v1 · 2017-11-24 · 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{W3MCPXLW76AYKJROIKUQPLV3HU}

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	2026-05-18T00:29:41.692452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6d827dd76ff8185262e42a907aebb3d1b6b2d088573fee5857ac1ae9c4399ad

Aliases

arxiv: 1711.08928 · arxiv_version: 1711.08928v1 · doi: 10.48550/arxiv.1711.08928 · pith_short_12: W3MCPXLW76AY · pith_short_16: W3MCPXLW76AYKJRO · pith_short_8: W3MCPXLW

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/W3MCPXLW76AYKJROIKUQPLV3HU \
  | 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: b6d827dd76ff8185262e42a907aebb3d1b6b2d088573fee5857ac1ae9c4399ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f71848601ce4177bf220bc57cbf32ca2f08e3d5d16dc8e9ab90027f951ed801d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-24T11:20:11Z",
    "title_canon_sha256": "15f82945931873b6b9a3d6e1c61f8be6427b4cad012da2c5d141941bb374f402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08928",
    "kind": "arxiv",
    "version": 1
  }
}