Pith Number

pith:KNKVEIH2

pith:2024:KNKVEIH2A3WH5O5TSMPTUWSTAI

not attested not anchored not stored refs pending

The Dirichlet spectrum

Alon Agin, Barak Weiss

arxiv:2412.05858 v1 · 2024-12-08 · 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{KNKVEIH2A3WH5O5TSMPTUWSTAI}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T09:46:10.657126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53555220fa06ec7ebbb3931f3a5a53022f97b5b46a517e611cc24bf88923f1e7

Aliases

arxiv: 2412.05858 · arxiv_version: 2412.05858v1 · doi: 10.48550/arxiv.2412.05858 · pith_short_12: KNKVEIH2A3WH · pith_short_16: KNKVEIH2A3WH5O5T · pith_short_8: KNKVEIH2

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/KNKVEIH2A3WH5O5TSMPTUWSTAI \
  | 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: 53555220fa06ec7ebbb3931f3a5a53022f97b5b46a517e611cc24bf88923f1e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153ab035789234c3e1930cb65de1a9974d679e5297b7b0ec8d30e5e076d94ccd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-08T08:44:22Z",
    "title_canon_sha256": "553ef06f722f9d3175e14f58ac094f182d2a8321367e51aad368625c2135bc8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.05858",
    "kind": "arxiv",
    "version": 1
  }
}