Pith Number

pith:B3PR5UIM

pith:2026:B3PR5UIMZ4YBGCE3523U3JT4UW

not attested not anchored not stored refs pending

An explicit uniform cubic wedge for consecutive Toeplitz minors of the Riemann xi coefficients

Wojciech Michalowski

arxiv:2607.16795 v1 · 2026-07-18 · 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{B3PR5UIMZ4YBGCE3523U3JT4UW}

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	2026-07-21T01:20:59.361373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0edf1ed10ccf3013089beeb74da67ca59795f93955a5f31146c7157982571007

Aliases

arxiv: 2607.16795 · arxiv_version: 2607.16795v1 · doi: 10.48550/arxiv.2607.16795 · pith_short_12: B3PR5UIMZ4YB · pith_short_16: B3PR5UIMZ4YBGCE3 · pith_short_8: B3PR5UIM

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/B3PR5UIMZ4YBGCE3523U3JT4UW \
  | 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: 0edf1ed10ccf3013089beeb74da67ca59795f93955a5f31146c7157982571007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fd8f5beda6f3ab754373d9c801ed8996995caa5861b20bf315a28ad9c8d3e8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-18T12:23:13Z",
    "title_canon_sha256": "8ea9cc0fd0483b10e0400a5b1444dd18be7e4d0a166422cf1882aaa969b9471c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16795",
    "kind": "arxiv",
    "version": 1
  }
}