Pith Number

pith:DKUCYVST

pith:2026:DKUCYVST7GFICNHRKN5TKA2NKX

not attested not anchored not stored refs pending

Explicit conditional bounds for $\zeta(s)$ at the edge of the critical strip

Andr\'es Chirre, Blas Molero Ravines

arxiv:2602.06199 v2 · 2026-02-05 · 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{DKUCYVST7GFICNHRKN5TKA2NKX}

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	2026-06-30T01:17:33.601506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aa82c5653f98a8134f1537b35034d55e67acb11d8d9d201dad623bce93110bd

Aliases

arxiv: 2602.06199 · arxiv_version: 2602.06199v2 · doi: 10.48550/arxiv.2602.06199 · pith_short_12: DKUCYVST7GFI · pith_short_16: DKUCYVST7GFICNHR · pith_short_8: DKUCYVST

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/DKUCYVST7GFICNHRKN5TKA2NKX \
  | 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: 1aa82c5653f98a8134f1537b35034d55e67acb11d8d9d201dad623bce93110bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfcdef4e70556fa18ea266cd6c30e73bf121b7560278c4b881ca4eef922888a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-02-05T21:20:20Z",
    "title_canon_sha256": "3756358fafb34b188fb8bfe6c61d41569596efa0700b9bd636dde3932471d1b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.06199",
    "kind": "arxiv",
    "version": 2
  }
}