Pith Number

pith:4WBXW4PO

pith:2018:4WBXW4POTM7W7KRMUCKUCZ2RRJ

not attested not anchored not stored refs pending

A Limit Set Intersection Theorem for Graph of Relatively Hyperbolic Groups

Swathi Krishna

arxiv:1812.05396 v3 · 2018-12-13 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WBXW4POTM7W7KRMUCKUCZ2RRJ}

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	2026-07-05T00:24:05.148844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5837b71ee9b3f6faa2ca0954167518a5804035cf79c036cb99efdc6225d0a12

Aliases

arxiv: 1812.05396 · arxiv_version: 1812.05396v3 · doi: 10.48550/arxiv.1812.05396 · pith_short_12: 4WBXW4POTM7W · pith_short_16: 4WBXW4POTM7W7KRM · pith_short_8: 4WBXW4PO

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/4WBXW4POTM7W7KRMUCKUCZ2RRJ \
  | 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: e5837b71ee9b3f6faa2ca0954167518a5804035cf79c036cb99efdc6225d0a12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aa50bbadecc99dd01a9cacf8e72aaa3981e58acf1239953cff1abdcfcaf177d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-12-13T12:58:44Z",
    "title_canon_sha256": "36bcb248fe6042c9b8ed0975c047eba1a0c4722519a6886d2f6f61eb4bb59bdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05396",
    "kind": "arxiv",
    "version": 3
  }
}