Pith Number

pith:VBX5KB5H

pith:2025:VBX5KB5HJQN55BXBUVSDZN4B76

not attested not anchored not stored refs pending

Eigenvalues of Maximal Abelian Covers

Joe Thomas, Michael Magee, Mostafa Sabri, Wenbo Li

arxiv:2508.17332 v1 · 2025-08-24 · math.SP · math-ph · math.CO · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBX5KB5HJQN55BXBUVSDZN4B76}

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	2026-07-05T11:58:39.988817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86fd507a74c1bde86e1a5643cb781ffbcec22f268974a271ad7133a829209af

Aliases

arxiv: 2508.17332 · arxiv_version: 2508.17332v1 · doi: 10.48550/arxiv.2508.17332 · pith_short_12: VBX5KB5HJQN5 · pith_short_16: VBX5KB5HJQN55BXB · pith_short_8: VBX5KB5H

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/VBX5KB5HJQN55BXBUVSDZN4B76 \
  | 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: a86fd507a74c1bde86e1a5643cb781ffbcec22f268974a271ad7133a829209af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49ee948151b18a883012851e04c4b1a8df7e75b0d3b0b608b4c0650ab30b4d59",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-08-24T12:40:26Z",
    "title_canon_sha256": "6efb5545cb9a8b1ded6a27c203d130c69a98b1ff19cfc146a1b20d2c4e6c360d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.17332",
    "kind": "arxiv",
    "version": 1
  }
}