Pith Number

pith:RKC2Q3UA

pith:2017:RKC2Q3UA4WYBKGYMTBLJERKZXU

not attested not anchored not stored refs pending

The covering type of closed surfaces and minimal triangulations

Elias Gabriel Minian, Eugenio Borghini

arxiv:1712.02833 v1 · 2017-12-07 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RKC2Q3UA4WYBKGYMTBLJERKZXU}

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	2026-05-18T00:28:29.133520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a85a86e80e5b0151b0c9856924559bd3df1570a508370f28edacae065ee6b2f

Aliases

arxiv: 1712.02833 · arxiv_version: 1712.02833v1 · doi: 10.48550/arxiv.1712.02833 · pith_short_12: RKC2Q3UA4WYB · pith_short_16: RKC2Q3UA4WYBKGYM · pith_short_8: RKC2Q3UA

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/RKC2Q3UA4WYBKGYMTBLJERKZXU \
  | 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: 8a85a86e80e5b0151b0c9856924559bd3df1570a508370f28edacae065ee6b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81183b48d57ffd5adcbbd84dbd49afe85bb7c39aae3b0ec7a46369eccfc608d6",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-07T19:45:48Z",
    "title_canon_sha256": "a7449628524d751a10c261e3565f5c2a335ed7aacafcf3f64664d747e74369d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02833",
    "kind": "arxiv",
    "version": 1
  }
}