Pith Number

pith:5AC2SRD5

pith:2025:5AC2SRD5RVIRXEPHWW2HG365X2

not attested not anchored not stored refs pending

A Rigorous Error Bound for the TG Kernel in Prime Counting

Bugra Kilictas, Faruk Alpay

arxiv:2506.22634 v1 · 2025-06-27 · math.NT · cs.DS · cs.NA · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AC2SRD5RVIRXEPHWW2HG365X2}

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	2026-07-05T11:28:42.224844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e805a9447d8d511b91e7b5b4736fddbea38245c8b3ef7ee4f054989d8caeda3a

Aliases

arxiv: 2506.22634 · arxiv_version: 2506.22634v1 · doi: 10.48550/arxiv.2506.22634 · pith_short_12: 5AC2SRD5RVIR · pith_short_16: 5AC2SRD5RVIRXEPH · pith_short_8: 5AC2SRD5

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/5AC2SRD5RVIRXEPHWW2HG365X2 \
  | 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: e805a9447d8d511b91e7b5b4736fddbea38245c8b3ef7ee4f054989d8caeda3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5347cd77d3c6bba87664e944f02001f672b024876455f0574a12b223906cbae2",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-27T20:54:06Z",
    "title_canon_sha256": "0c271c10f14c151c18f8c1f95414c986aac5fa263ea37321874d63b7df2aa3b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22634",
    "kind": "arxiv",
    "version": 1
  }
}