Pith Number

pith:DJUWG4FP

pith:2015:DJUWG4FPENZOSTW2HAS2U3YUSB

not attested not anchored not stored refs pending

Mirror Symmetry of Minimal Calabi-Yau Manifolds

Hideyuki Kawada, Hisao Suzuki, Takahiro Masuda

arxiv:1512.07737 v1 · 2015-12-24 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJUWG4FPENZOSTW2HAS2U3YUSB}

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	2026-05-18T01:23:47.991113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a696370af2372e94eda3825aa6f14904eea8c64a8c77e29056b9cf85b369349

Aliases

arxiv: 1512.07737 · arxiv_version: 1512.07737v1 · doi: 10.48550/arxiv.1512.07737 · pith_short_12: DJUWG4FPENZO · pith_short_16: DJUWG4FPENZOSTW2 · pith_short_8: DJUWG4FP

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/DJUWG4FPENZOSTW2HAS2U3YUSB \
  | 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: 1a696370af2372e94eda3825aa6f14904eea8c64a8c77e29056b9cf85b369349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb51ba8284d0d27b67e2757878320ae5b7582a4f0d5cebc9f1c7f1cc27186b29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-24T07:36:01Z",
    "title_canon_sha256": "dcc0870c79bd55642c4b52874c38d29f2fc1f3f72df54f02dd635a98d098bcef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07737",
    "kind": "arxiv",
    "version": 1
  }
}