Pith Number

pith:ROJGLUNL

pith:2016:ROJGLUNLNSICZICD7ZHQ5I7LXG

not attested not anchored not stored refs pending

Hyperbolicity of cyclic covers and complements

Yuchen Liu

arxiv:1601.07514 v3 · 2016-01-27 · math.AG · 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{ROJGLUNLNSICZICD7ZHQ5I7LXG}

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	2026-05-18T00:13:08.144111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b9265d1ab6c902ca043fe4f0ea3ebb9a34c4bc26f29bfd458af8d61fe51796c

Aliases

arxiv: 1601.07514 · arxiv_version: 1601.07514v3 · doi: 10.48550/arxiv.1601.07514 · pith_short_12: ROJGLUNLNSIC · pith_short_16: ROJGLUNLNSICZICD · pith_short_8: ROJGLUNL

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/ROJGLUNLNSICZICD7ZHQ5I7LXG \
  | 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: 8b9265d1ab6c902ca043fe4f0ea3ebb9a34c4bc26f29bfd458af8d61fe51796c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c146c6c37a75cdf51235fb4b1a3fa01b961d488643d3c3c80788ea85f6fd9d8",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-27T19:28:42Z",
    "title_canon_sha256": "6b2c77ddee729484a4ff8547dc5c8df0a6b270986fbfcbfe84fa58da4e76dc87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07514",
    "kind": "arxiv",
    "version": 3
  }
}