Pith Number

pith:F2GFYLGV

pith:2011:F2GFYLGV3PPQDYEVCBUSWQQRL7

not attested not anchored not stored refs pending

Patterson--Sullivan distributions in higher rank

Joachim Hilgert, Michael Schr\"oder, S\"onke Hansen

arxiv:1105.5788 v1 · 2011-05-29 · math.SP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F2GFYLGV3PPQDYEVCBUSWQQRL7}

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	2026-05-18T04:21:01.554540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e8c5c2cd5dbdf01e09510692b42115ff6a363a7c0e80bf1bf4231a6d7607c21

Aliases

arxiv: 1105.5788 · arxiv_version: 1105.5788v1 · doi: 10.48550/arxiv.1105.5788 · pith_short_12: F2GFYLGV3PPQ · pith_short_16: F2GFYLGV3PPQDYEV · pith_short_8: F2GFYLGV

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/F2GFYLGV3PPQDYEVCBUSWQQRL7 \
  | 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: 2e8c5c2cd5dbdf01e09510692b42115ff6a363a7c0e80bf1bf4231a6d7607c21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87e8cf0e65a65838836358014cc4ae0d49fb0ce746f612701b1b7b8d8a7290ae",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-05-29T13:55:46Z",
    "title_canon_sha256": "98c537ac7a7a47e090548d44842aea6188441af333c8c849150ffd0075264ce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5788",
    "kind": "arxiv",
    "version": 1
  }
}