Pith Number

pith:2MWZW4ZI

pith:2014:2MWZW4ZIPEGFW2HS5LGCTFE7WN

not attested not anchored not stored refs pending

$(n,m)$-Fold Covers of Spheres

Birgit Vogtenhuber, Imre B\'ar\'any, Ruy Fabila-Monroy

arxiv:1410.0056 v3 · 2014-09-30 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MWZW4ZIPEGFW2HS5LGCTFE7WN}

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	2026-05-18T02:31:10.935871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d32d9b7328790c5b68f2eacc29949fb34487b789750c504c779f89a97f1017e9

Aliases

arxiv: 1410.0056 · arxiv_version: 1410.0056v3 · doi: 10.48550/arxiv.1410.0056 · pith_short_12: 2MWZW4ZIPEGF · pith_short_16: 2MWZW4ZIPEGFW2HS · pith_short_8: 2MWZW4ZI

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/2MWZW4ZIPEGFW2HS5LGCTFE7WN \
  | 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: d32d9b7328790c5b68f2eacc29949fb34487b789750c504c779f89a97f1017e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7bb8810ea571c5fe2de631c85719bae6fc4a7b29388ea93cb47d7479e9c328a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-30T21:22:56Z",
    "title_canon_sha256": "10bbf218478bbe300d0bf182f04b9efacec470a7bd593b630ea03a38288fbe26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0056",
    "kind": "arxiv",
    "version": 3
  }
}