Pith Number

pith:L473I5QY

pith:2018:L473I5QYZIXL3LJOXEDYBIQYYM

not attested not anchored not stored refs pending

Branch values in Ahlfors' theory of covering surfaces

Guangyuan Zhang, Zonghan Sun

arxiv:1810.06857 v1 · 2018-10-16 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L473I5QYZIXL3LJOXEDYBIQYYM}

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	2026-05-18T00:03:11.324372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f3fb47618ca2ebdad2eb90780a218c32be3ff056ea275e867a385849b2e7bd0

Aliases

arxiv: 1810.06857 · arxiv_version: 1810.06857v1 · doi: 10.48550/arxiv.1810.06857 · pith_short_12: L473I5QYZIXL · pith_short_16: L473I5QYZIXL3LJO · pith_short_8: L473I5QY

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/L473I5QYZIXL3LJOXEDYBIQYYM \
  | 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: 5f3fb47618ca2ebdad2eb90780a218c32be3ff056ea275e867a385849b2e7bd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29dccf4c645e230a0ddd278e46e73e77ecbafd4ac46550a3159b1f4fc2721899",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-10-16T07:51:09Z",
    "title_canon_sha256": "6590502a247feb18c345de110aa97eb8b263f149c45f359b522b023cdedff925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06857",
    "kind": "arxiv",
    "version": 1
  }
}