Pith Number

pith:4YG32T2B

pith:2026:4YG32T2BD3Y7AIOGUIF23QZTTK

not attested not anchored not stored refs pending

Spectral determinants of the Bolza surface and the Klein quartic

Victor Kalvin

arxiv:2608.01611 v1 · 2026-08-03 · math.DG · math-ph · math.AP · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YG32T2BD3Y7AIOGUIF23QZTTK}

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	2026-08-04T02:06:07.488375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e60dbd4f411ef1f021c6a20badc3339abb2dab67138b55b4d094c4d500079a6b

Aliases

arxiv: 2608.01611 · arxiv_version: 2608.01611v1 · doi: 10.48550/arxiv.2608.01611 · pith_short_12: 4YG32T2BD3Y7 · pith_short_16: 4YG32T2BD3Y7AIOG · pith_short_8: 4YG32T2B

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/4YG32T2BD3Y7AIOGUIF23QZTTK \
  | 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: e60dbd4f411ef1f021c6a20badc3339abb2dab67138b55b4d094c4d500079a6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f92d167bd831a84281a739bbd4a6ac78f879361a57f5c1d11cf1d767838d371",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-08-03T02:36:27Z",
    "title_canon_sha256": "4fd39f28cdedf00e9411f862e8372c296618655fdc39dd1274c8b3ef7d4712cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01611",
    "kind": "arxiv",
    "version": 1
  }
}