Pith Number

pith:ASVG4RVR

pith:2012:ASVG4RVRS3RJX4RSSD47XLMZ5L

not attested not anchored not stored refs pending

Geometrization of sub-hyperbolic semi-rational branched coverings

Tao Cheng, Yunping Jiang

arxiv:1207.1292 v1 · 2012-07-05 · math.CV · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ASVG4RVRS3RJX4RSSD47XLMZ5L}

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	2026-05-18T03:51:46.418335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04aa6e46b196e29bf23290f9fbad99eaf9a751703a8aa7e922669088bb6bb44f

Aliases

arxiv: 1207.1292 · arxiv_version: 1207.1292v1 · doi: 10.48550/arxiv.1207.1292 · pith_short_12: ASVG4RVRS3RJ · pith_short_16: ASVG4RVRS3RJX4RS · pith_short_8: ASVG4RVR

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/ASVG4RVRS3RJX4RSSD47XLMZ5L \
  | 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: 04aa6e46b196e29bf23290f9fbad99eaf9a751703a8aa7e922669088bb6bb44f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9090d6c24f35f04708fdebc1d7ade95e42d0902e050cc3310066efeda58a6312",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-07-05T15:57:00Z",
    "title_canon_sha256": "c3949249a09622968b97a69ed2f37ef73ad66e7217e567a907af86f3c759369b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1292",
    "kind": "arxiv",
    "version": 1
  }
}