Pith Number

pith:TBRTTU7O

pith:2010:TBRTTU7OUT4KRLOXRTRZNWTOT3

not attested not anchored not stored refs pending

Elliptic genera of Berglund-H\"ubsch models

Minxian Zhu

arxiv:1012.5442 v1 · 2010-12-25 · 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{TBRTTU7OUT4KRLOXRTRZNWTOT3}

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	2026-05-18T04:32:23.502908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

986339d3eea4f8a8add78ce396da6e9ecdf8be4f4e450b712932749e2680ce3d

Aliases

arxiv: 1012.5442 · arxiv_version: 1012.5442v1 · doi: 10.48550/arxiv.1012.5442 · pith_short_12: TBRTTU7OUT4K · pith_short_16: TBRTTU7OUT4KRLOX · pith_short_8: TBRTTU7O

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/TBRTTU7OUT4KRLOXRTRZNWTOT3 \
  | 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: 986339d3eea4f8a8add78ce396da6e9ecdf8be4f4e450b712932749e2680ce3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "887a642817648324f69581e09dc7d3f955021c4fbcb2db3d4fdb9f705175b08c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-25T02:36:56Z",
    "title_canon_sha256": "1485c2d8cd379929ddf5a9a14c695572f1af0a507399d82cb1f3d5a3592cb82b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5442",
    "kind": "arxiv",
    "version": 1
  }
}