Pith Number

pith:WVPS3N56

pith:2014:WVPS3N56QEYAHYLAKU5RGHDD3E

not attested not anchored not stored refs pending

Estimating $\pi(x)$ and related functions under partial RH assumptions

Jan B\"uthe

arxiv:1410.7015 v4 · 2014-10-26 · 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{WVPS3N56QEYAHYLAKU5RGHDD3E}

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	2026-07-05T04:26:17.446436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b55f2db7be813003e160553b131c63d919b8b01cd8437dd5637e8e49a795d552

Aliases

arxiv: 1410.7015 · arxiv_version: 1410.7015v4 · doi: 10.48550/arxiv.1410.7015 · pith_short_12: WVPS3N56QEYA · pith_short_16: WVPS3N56QEYAHYLA · pith_short_8: WVPS3N56

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/WVPS3N56QEYAHYLAKU5RGHDD3E \
  | 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: b55f2db7be813003e160553b131c63d919b8b01cd8437dd5637e8e49a795d552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c5f38e36d750bd79ba992f39c3dd4276e5950ad6f7f0a94d44780c835a676c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-26T11:28:58Z",
    "title_canon_sha256": "761d5ebaa45151b4c56ed6706697bb5d46e974e663a63710fd72c9f64e1170c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7015",
    "kind": "arxiv",
    "version": 4
  }
}