Pith Number

pith:W75JHQJ5

pith:2010:W75JHQJ5IVGAV6SWHBY2MKEZPR

not attested not anchored not stored refs pending

Square-tiled cyclic covers

Anton Zorich, Carlos Matheus, Giovanni Forni

arxiv:1007.4275 v2 · 2010-07-24 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W75JHQJ5IVGAV6SWHBY2MKEZPR}

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	2026-05-18T04:18:04.599518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7fa93c13d454c0afa563871a628997c41f69e5a0e09eba87f01f712f79fcace

Aliases

arxiv: 1007.4275 · arxiv_version: 1007.4275v2 · doi: 10.48550/arxiv.1007.4275 · pith_short_12: W75JHQJ5IVGA · pith_short_16: W75JHQJ5IVGAV6SW · pith_short_8: W75JHQJ5

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/W75JHQJ5IVGAV6SWHBY2MKEZPR \
  | 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: b7fa93c13d454c0afa563871a628997c41f69e5a0e09eba87f01f712f79fcace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45453a2eec51cb422b72d9f037f1f1866b882a6dcc5d6ffd284db414c4600506",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-07-24T16:38:45Z",
    "title_canon_sha256": "3bf3fd939a89c9072a436965595fc8177a726725b105acb2514fb5a499ab4148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4275",
    "kind": "arxiv",
    "version": 2
  }
}