Pith Number

pith:2LTRHI6I

pith:2018:2LTRHI6I2ET5WUXP4MTYEEIJKZ

not attested not anchored not stored refs pending

Twisted Patterson-Sullivan measures and applications to amenability and coverings

Barbara Schapira (IRMAR), R\'emi Coulon (IRMAR), Rhiannon Dougall, Samuel Tapie (LMJL)

arxiv:1809.10881 v2 · 2018-09-28 · math.GR · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2LTRHI6I2ET5WUXP4MTYEEIJKZ}

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	2026-05-18T00:02:15.642387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2e713a3c8d127db52efe327821109565f1cf192a1675079e81443046608d40f

Aliases

arxiv: 1809.10881 · arxiv_version: 1809.10881v2 · doi: 10.48550/arxiv.1809.10881 · pith_short_12: 2LTRHI6I2ET5 · pith_short_16: 2LTRHI6I2ET5WUXP · pith_short_8: 2LTRHI6I

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/2LTRHI6I2ET5WUXP4MTYEEIJKZ \
  | 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: d2e713a3c8d127db52efe327821109565f1cf192a1675079e81443046608d40f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b366096c218efa1d42e756ec16da2b096c92e08ca1e9d9dcbef043fff22d32ed",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-09-28T06:51:28Z",
    "title_canon_sha256": "8373ff608fb7bf41562dfbebfc28554ae597d003421dc2f026b521b0a64bc229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10881",
    "kind": "arxiv",
    "version": 2
  }
}