Pith Number

pith:AQZSOPBY

pith:2026:AQZSOPBY2IEJSAFUVUTW2TKFVV

not attested not anchored not stored refs pending

$\chi$-independence for K3-surfaces via $p$-adic integration

Dimitri Wyss, Michael Groechenig, Paul Ziegler

arxiv:2607.01513 v1 · 2026-07-01 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQZSOPBY2IEJSAFUVUTW2TKFVV}

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	2026-07-03T00:17:02.789189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0433273c38d2089900b4ad276d4d45ad5506830b8796bc02e8fa809f9197c9db

Aliases

arxiv: 2607.01513 · arxiv_version: 2607.01513v1 · doi: 10.48550/arxiv.2607.01513 · pith_short_12: AQZSOPBY2IEJ · pith_short_16: AQZSOPBY2IEJSAFU · pith_short_8: AQZSOPBY

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/AQZSOPBY2IEJSAFUVUTW2TKFVV \
  | 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: 0433273c38d2089900b4ad276d4d45ad5506830b8796bc02e8fa809f9197c9db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a053516403732026dc3e909b498f67624a72d3837205a2220e744a4e1018d6b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-01T22:19:11Z",
    "title_canon_sha256": "933d8148773b4b1d9473efaca17839171ac83d8bc4a0926092f2f50a33d076ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01513",
    "kind": "arxiv",
    "version": 1
  }
}