Pith Number

pith:CYNXYR5V

pith:2015:CYNXYR5VSJV7YBRMH4XTIPSCSE

not attested not anchored not stored refs pending

Algorithmic aspects of branched coverings

Dzmitry Dudko, Laurent Bartholdi

arxiv:1512.05948 v3 · 2015-12-18 · cs.CC · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYNXYR5VSJV7YBRMH4XTIPSCSE}

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	2026-05-18T00:42:13.339978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

161b7c47b5926bfc062c3f2f343e42913b5ccbd88844361ba60c3eb13957b3e5

Aliases

arxiv: 1512.05948 · arxiv_version: 1512.05948v3 · doi: 10.48550/arxiv.1512.05948 · pith_short_12: CYNXYR5VSJV7 · pith_short_16: CYNXYR5VSJV7YBRM · pith_short_8: CYNXYR5V

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/CYNXYR5VSJV7YBRMH4XTIPSCSE \
  | 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: 161b7c47b5926bfc062c3f2f343e42913b5ccbd88844361ba60c3eb13957b3e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a63058b8553a6c5aef6b07d76c0339fb7f8b73dd44e932306f03074e68ed3ab5",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-12-18T13:38:15Z",
    "title_canon_sha256": "2f09ffc1fe5008128854002bc18de09b92f4b6c5835c20a7b9f507b490445bcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05948",
    "kind": "arxiv",
    "version": 3
  }
}