Pith Number

pith:AST542L7

pith:2026:AST542L72PQRPBZ7UFVJEX4L3O

not attested not anchored not stored refs pending

A new hyperbolicity wedge and a joint semicircle limit for Jensen polynomials of Riemann's $\xi$-function

Jonathan Holland

arxiv:2608.08682 v1 · 2026-08-09 · 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{AST542L72PQRPBZ7UFVJEX4L3O}

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	2026-08-11T01:24:59.551548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04a7de697fd3e117873fa16a925f8bdbb61abbd56d2984c76642bf41bd0965cf

Aliases

arxiv: 2608.08682 · arxiv_version: 2608.08682v1 · doi: 10.48550/arxiv.2608.08682 · pith_short_12: AST542L72PQR · pith_short_16: AST542L72PQRPBZ7 · pith_short_8: AST542L7

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/AST542L72PQRPBZ7UFVJEX4L3O \
  | 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: 04a7de697fd3e117873fa16a925f8bdbb61abbd56d2984c76642bf41bd0965cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b4907e589e56192eaf8dfde01dd40703286d0e89ab722aca6bcdb715e1a52d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-09T12:58:52Z",
    "title_canon_sha256": "a07a5a0f41dfba92dd0df44ea3d8dd59ae1e1eb1d013483f1c6f572d6f4a5222"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08682",
    "kind": "arxiv",
    "version": 1
  }
}