Pith Number

pith:IRAUOVRU

pith:2026:IRAUOVRUIHYR7R2POT7RXYXYFP

not attested not anchored not stored refs pending

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$

Nikita Shulga

arxiv:2606.08865 v1 · 2026-06-07 · 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{IRAUOVRUIHYR7R2POT7RXYXYFP}

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	2026-06-09T02:07:43.678746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

444147563441f11fc74f74ff1be2f82bc16e32e076dad286889d51ddae31acbd

Aliases

arxiv: 2606.08865 · arxiv_version: 2606.08865v1 · doi: 10.48550/arxiv.2606.08865 · pith_short_12: IRAUOVRUIHYR · pith_short_16: IRAUOVRUIHYR7R2P · pith_short_8: IRAUOVRU

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/IRAUOVRUIHYR7R2POT7RXYXYFP \
  | 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: 444147563441f11fc74f74ff1be2f82bc16e32e076dad286889d51ddae31acbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eac11bd08b5488905f0dec3016660c13c742afbe48bcd2e063098dfb2be1237",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-07T22:33:28Z",
    "title_canon_sha256": "1c5c780b8e1bbec29f0142d478b35db26883b879709c4a3bd10b798bddf0ef78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08865",
    "kind": "arxiv",
    "version": 1
  }
}