Pith Number

pith:EMURWCUW

pith:2016:EMURWCUWTLLIVVZJBTWQDQSHNX

not attested not anchored not stored refs pending

Conditional estimates on small distances between ordinates of zeros of $\zeta(s)$ and $\zeta'(s)$

Fan Ge

arxiv:1604.04243 v1 · 2016-04-14 · 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{EMURWCUWTLLIVVZJBTWQDQSHNX}

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	2026-05-18T01:17:06.066937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23291b0a969ad68ad7290ced01c2476dc94174ce54a3fbabdeb809113d01fb49

Aliases

arxiv: 1604.04243 · arxiv_version: 1604.04243v1 · doi: 10.48550/arxiv.1604.04243 · pith_short_12: EMURWCUWTLLI · pith_short_16: EMURWCUWTLLIVVZJ · pith_short_8: EMURWCUW

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/EMURWCUWTLLIVVZJBTWQDQSHNX \
  | 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: 23291b0a969ad68ad7290ced01c2476dc94174ce54a3fbabdeb809113d01fb49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "021ee7df6941efed93b60eb9b21df2754db9c13d5d1a6436854fb99dc4205f8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-14T18:10:36Z",
    "title_canon_sha256": "3a15c413337a2e560fe02ee5f86d353980390803ea85b6b0dc18f259588998ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04243",
    "kind": "arxiv",
    "version": 1
  }
}