Pith Number

pith:4WDLDBCJ

pith:2022:4WDLDBCJRDOFDBLYR4ULJ4KRHK

not attested not anchored not stored refs pending

Marked length spectrum rigidity for relatively hyperbolic groups

Shi Wang, Thang Nguyen

arxiv:2207.05296 v1 · 2022-07-12 · math.GT · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WDLDBCJRDOFDBLYR4ULJ4KRHK}

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.

Cited by

1 paper in Pith

Stability for boundary actions of cocompact lattices in Euclidean buildings

Receipt and verification

First computed	2026-07-05T04:39:41.071026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e586b1844988dc5185788f28b4f1513a88f72285c58c1e4a27708963500d4e46

Aliases

arxiv: 2207.05296 · arxiv_version: 2207.05296v1 · doi: 10.48550/arxiv.2207.05296 · pith_short_12: 4WDLDBCJRDOF · pith_short_16: 4WDLDBCJRDOFDBLY · pith_short_8: 4WDLDBCJ

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/4WDLDBCJRDOFDBLYR4ULJ4KRHK \
  | 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: e586b1844988dc5185788f28b4f1513a88f72285c58c1e4a27708963500d4e46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b92ee45c12a07dfd6ca92e57e6932c0e528728181699b054a437f596b5741bbf",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-07-12T04:08:47Z",
    "title_canon_sha256": "f3bb04fef60a14da79fe7eda2a906955f3de9a1cf320213aee77c95a28370417"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.05296",
    "kind": "arxiv",
    "version": 1
  }
}