Pith Number

pith:FCNZNBCL

pith:2023:FCNZNBCLUORTMRXN2K2C4BJGKU

not attested not anchored not stored refs pending

Bounding zeta on the 1-line under the partial Riemann hypothesis

Andr\'es Chirre

arxiv:2310.06723 v2 · 2023-10-10 · 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{FCNZNBCLUORTMRXN2K2C4BJGKU}

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	2026-07-05T07:14:18.602858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

289b96844ba3a33646edd2b42e0526550a0122b7b499b9e2d04b04d21d165d65

Aliases

arxiv: 2310.06723 · arxiv_version: 2310.06723v2 · doi: 10.48550/arxiv.2310.06723 · pith_short_12: FCNZNBCLUORT · pith_short_16: FCNZNBCLUORTMRXN · pith_short_8: FCNZNBCL

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/FCNZNBCLUORTMRXN2K2C4BJGKU \
  | 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: 289b96844ba3a33646edd2b42e0526550a0122b7b499b9e2d04b04d21d165d65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f53f1542c4dd373c8beb083af164ce4d263bdb5a3070b5b8a417caa78c936fca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-10-10T15:50:02Z",
    "title_canon_sha256": "c85be890270fb2a82be0ab549e36a87998e8b715d3dd612ca9ebdcd7ff2ad5bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.06723",
    "kind": "arxiv",
    "version": 2
  }
}