Pith Number

pith:G3ZWZKTM

pith:2012:G3ZWZKTMCLUTJSAZJKQD3YL4QQ

not attested not anchored not stored refs pending

The mirror symmetry of K3 surfaces with non-symplectic automorphisms of prime order

Christopher Lyons, Nathan Priddis, Paola Comparin, Rachel Suggs

arxiv:1211.2172 v3 · 2012-11-09 · math.AG · hep-th · math-ph · 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{G3ZWZKTMCLUTJSAZJKQD3YL4QQ}

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	2026-05-18T03:27:32.472640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36f36caa6c12e934c8194aa03de17c841aa87e4d8bf7d27b915de42643192bf0

Aliases

arxiv: 1211.2172 · arxiv_version: 1211.2172v3 · doi: 10.48550/arxiv.1211.2172 · pith_short_12: G3ZWZKTMCLUT · pith_short_16: G3ZWZKTMCLUTJSAZ · pith_short_8: G3ZWZKTM

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/G3ZWZKTMCLUTJSAZJKQD3YL4QQ \
  | 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: 36f36caa6c12e934c8194aa03de17c841aa87e4d8bf7d27b915de42643192bf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dc976c24f08e0e47a10cc3cbefcdb08c89c81dea6fd0609246e3660e53727f2",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-09T16:11:28Z",
    "title_canon_sha256": "09eb8a5720bb28f4f49090f2b2231e46c7e3028fc25f3782db18d849db6e9036"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2172",
    "kind": "arxiv",
    "version": 3
  }
}