Pith Number

pith:U7IMYKCE

pith:2013:U7IMYKCE54YKNZRRWVPS7PXJLE

not attested not anchored not stored refs pending

Paths on the Doubly Covered Region of a Covering of the Plane by Unit Discs

Edgardo Rold\'an-Pensado

arxiv:1304.2020 v1 · 2013-04-07 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7IMYKCE54YKNZRRWVPS7PXJLE}

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	2026-07-05T02:46:56.167795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7d0cc2844ef30a6e631b55f2fbee9590d81ff264b40a7a87685317f897698cd

Aliases

arxiv: 1304.2020 · arxiv_version: 1304.2020v1 · doi: 10.48550/arxiv.1304.2020 · pith_short_12: U7IMYKCE54YK · pith_short_16: U7IMYKCE54YKNZRR · pith_short_8: U7IMYKCE

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/U7IMYKCE54YKNZRRWVPS7PXJLE \
  | 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: a7d0cc2844ef30a6e631b55f2fbee9590d81ff264b40a7a87685317f897698cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f115a025d67cba438452ddb404392b4d011cf6317bd9705cac222520d2ca1db4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-04-07T16:50:33Z",
    "title_canon_sha256": "fdd5f60158522bbb49cdcc4ddca2497030475f5eaa3cecea85e9e10066233680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2020",
    "kind": "arxiv",
    "version": 1
  }
}