Pith Number

pith:SAWCIX6X

pith:2012:SAWCIX6XN55WUNMECUX5DADCHG

not attested not anchored not stored refs pending

Fourier-Mukai transforms, mirror symmetry, and generalized K3 surfaces

Justin Sawon

arxiv:1209.3202 v1 · 2012-09-14 · math.DG · 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{SAWCIX6XN55WUNMECUX5DADCHG}

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	2026-05-18T03:45:32.516510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

902c245fd76f7b6a3584152fd1806239a79bd264496dfd33c2e64e234e0c293e

Aliases

arxiv: 1209.3202 · arxiv_version: 1209.3202v1 · doi: 10.48550/arxiv.1209.3202 · pith_short_12: SAWCIX6XN55W · pith_short_16: SAWCIX6XN55WUNME · pith_short_8: SAWCIX6X

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/SAWCIX6XN55WUNMECUX5DADCHG \
  | 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: 902c245fd76f7b6a3584152fd1806239a79bd264496dfd33c2e64e234e0c293e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "312c75428e63f6c150b5621d73712cf3e540fc3e915f78a1418fc1a50775d279",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-14T14:15:00Z",
    "title_canon_sha256": "1f607bf7e16fbbc17257a1d54a36be067b7e89af57d5af9754967e7ce7e96a69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3202",
    "kind": "arxiv",
    "version": 1
  }
}