Pith Number

pith:Q3MFA5JS

pith:2011:Q3MFA5JSAENFX32JLFIMQRXHUG

not attested not anchored not stored refs pending

Fourier-Mukai partners of K3 surfaces in positive characteristic

Martin Olsson, Max Lieblich

arxiv:1112.5114 v3 · 2011-12-21 · math.AG · 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{Q3MFA5JSAENFX32JLFIMQRXHUG}

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	2026-05-18T00:13:14.167543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86d8507532011a5bef495950c846e7a1ab0f7508cb4236fad8982fa43b1a0c43

Aliases

arxiv: 1112.5114 · arxiv_version: 1112.5114v3 · doi: 10.48550/arxiv.1112.5114 · pith_short_12: Q3MFA5JSAENF · pith_short_16: Q3MFA5JSAENFX32J · pith_short_8: Q3MFA5JS

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/Q3MFA5JSAENFX32JLFIMQRXHUG \
  | 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: 86d8507532011a5bef495950c846e7a1ab0f7508cb4236fad8982fa43b1a0c43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1d5f211c1bf26a0976c642db9c6b08eaf3ac02e018c7eb5d9e208769a805afb",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-21T17:59:35Z",
    "title_canon_sha256": "6636462514935bd785e5b5e106ab22fb80a9d6ba23b58a76558f7bfe25bc6b34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5114",
    "kind": "arxiv",
    "version": 3
  }
}