Pith Number

pith:FVNWKN7X

pith:2021:FVNWKN7X5VY77GTMSFRP3JEH2R

not attested not anchored not stored refs pending

Patterson--Sullivan densities in convex projective geometry

Pierre-Louis Blayac

arxiv:2106.08089 v2 · 2021-06-15 · math.DS · math.GR · 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{FVNWKN7X5VY77GTMSFRP3JEH2R}

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

Geometry and Dynamics of Transverse Groups

Receipt and verification

First computed	2026-07-05T03:29:50.099725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d5b6537f7ed71ff9a6c9162fda487d45d4234c1a94a40f805b7142744dcd53d

Aliases

arxiv: 2106.08089 · arxiv_version: 2106.08089v2 · doi: 10.48550/arxiv.2106.08089 · pith_short_12: FVNWKN7X5VY7 · pith_short_16: FVNWKN7X5VY77GTM · pith_short_8: FVNWKN7X

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/FVNWKN7X5VY77GTMSFRP3JEH2R \
  | 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: 2d5b6537f7ed71ff9a6c9162fda487d45d4234c1a94a40f805b7142744dcd53d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe550790fcb972501257c4579b419fd92f8df76fe136c32dd7d05b9ad83c7574",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-06-15T12:30:12Z",
    "title_canon_sha256": "403ad67b8cd15da852a8fc3fb39e66640e729fc9d417cf0eb156ad591608f28a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.08089",
    "kind": "arxiv",
    "version": 2
  }
}