Pith Number

pith:LKQ426ZV

pith:2010:LKQ426ZVFKSIBJCQ4CVD42XG57

not attested not anchored not stored refs pending

String Modular Phases in Calabi-Yau Families

Monika Lynker, Rolf Schimmrigk, Shabnam Kadir

arxiv:1012.5807 v1 · 2010-12-28 · hep-th · 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{LKQ426ZVFKSIBJCQ4CVD42XG57}

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	2026-05-18T04:12:11.971299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aa1cd7b352aa480a450e0aa3e6ae6efe22b6839d380813111b4334b5dad6ada

Aliases

arxiv: 1012.5807 · arxiv_version: 1012.5807v1 · doi: 10.48550/arxiv.1012.5807 · pith_short_12: LKQ426ZVFKSI · pith_short_16: LKQ426ZVFKSIBJCQ · pith_short_8: LKQ426ZV

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/LKQ426ZVFKSIBJCQ4CVD42XG57 \
  | 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: 5aa1cd7b352aa480a450e0aa3e6ae6efe22b6839d380813111b4334b5dad6ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07bbc83f0ab63b1bd0d85091f268509ed9ae01fa08a85e5068588210ced9f940",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-28T18:06:41Z",
    "title_canon_sha256": "acbdd6076202c88fff71c381fd2669cb8781e5eeb6ea9e42edb1ae954b41ee1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5807",
    "kind": "arxiv",
    "version": 1
  }
}