Pith Number

pith:ZLMCMLPK

pith:2015:ZLMCMLPKWAXPWCD3IZT5OQ5WUW

not attested not anchored not stored refs pending

Algorithmic aspects of branched coverings I. Van Kampen's Theorem for bisets

Dzmitry Dudko, Laurent Bartholdi

arxiv:1512.08539 v1 · 2015-12-28 · math.GR · 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{ZLMCMLPKWAXPWCD3IZT5OQ5WUW}

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	2026-05-18T01:23:37.476056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad8262deab02efb087b4667d743b6a599fbe5186d2de449a02c8ac5a9b9982c

Aliases

arxiv: 1512.08539 · arxiv_version: 1512.08539v1 · doi: 10.48550/arxiv.1512.08539 · pith_short_12: ZLMCMLPKWAXP · pith_short_16: ZLMCMLPKWAXPWCD3 · pith_short_8: ZLMCMLPK

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/ZLMCMLPKWAXPWCD3IZT5OQ5WUW \
  | 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: cad8262deab02efb087b4667d743b6a599fbe5186d2de449a02c8ac5a9b9982c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3962350fa5fc2ea79c124a060ab3f1061d2f7338e48f30e2263e11965a43a84",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-12-28T21:54:30Z",
    "title_canon_sha256": "406b3babbeadfb1335febab2723f1d160d7523747285088d2d0a57bdc2033559"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08539",
    "kind": "arxiv",
    "version": 1
  }
}