Pith Number

pith:EKJS27SV

pith:2021:EKJS27SVSPP26QPO5WVWXQDN7Z

not attested not anchored not stored refs pending

Ergodicity and equidistribution in Hilbert geometry

Feng Zhu, Pierre-Louis Blayac

arxiv:2106.08079 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{EKJS27SVSPP26QPO5WVWXQDN7Z}

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

2 papers in Pith

On 4-dimensional convex projective domains invariant by a lattice of $\mathrm{SL}_2 (\mathbb{R})$

Finiteness of Bowen-Margulis-Sullivan Measure for Gromov-Patterson-Sullivan Systems

Receipt and verification

First computed	2026-07-05T03:29:17.026591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22932d7e5593dfaf41eeedab6bc06dfe6e436f68254c67ef4fca6d6140d854e4

Aliases

arxiv: 2106.08079 · arxiv_version: 2106.08079v2 · doi: 10.48550/arxiv.2106.08079 · pith_short_12: EKJS27SVSPP2 · pith_short_16: EKJS27SVSPP26QPO · pith_short_8: EKJS27SV

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/EKJS27SVSPP26QPO5WVWXQDN7Z \
  | 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: 22932d7e5593dfaf41eeedab6bc06dfe6e436f68254c67ef4fca6d6140d854e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "391ed157004fb0ae7b465043e95066cf21fb9b1e4323170eb83f84d5e97aba60",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-06-15T12:16:48Z",
    "title_canon_sha256": "b9f7e0a165c8a2530a5e54f5ab03f28ba199c3f3d5f995a26cb07da28b3d95d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.08079",
    "kind": "arxiv",
    "version": 2
  }
}