Pith Number

pith:OOS4EIQT

pith:2026:OOS4EIQTR6NXAZU3OWJEOUBMPW

not attested not anchored not stored refs pending

Equidistribution of currents under Anosov group actions

Michael Kapovich, Mikhail Lyubich, Nguyen-Bac Dang, Shengyuan Zhao

arxiv:2607.22920 v1 · 2026-07-24 · 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{OOS4EIQTR6NXAZU3OWJEOUBMPW}

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	2026-07-28T00:22:02.185280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73a5c222138f9b70669b759247502c7d895f2d5b35aef318e3fdf3294c9b82ea

Aliases

arxiv: 2607.22920 · arxiv_version: 2607.22920v1 · doi: 10.48550/arxiv.2607.22920 · pith_short_12: OOS4EIQTR6NX · pith_short_16: OOS4EIQTR6NXAZU3 · pith_short_8: OOS4EIQT

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/OOS4EIQTR6NXAZU3OWJEOUBMPW \
  | 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: 73a5c222138f9b70669b759247502c7d895f2d5b35aef318e3fdf3294c9b82ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4855f29a8106163ccbe1ed784cc72bd3f42a0b59c1e5f5e0d24f4bfb80d58b9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-24T21:16:34Z",
    "title_canon_sha256": "6b3fc841982a9f12bf00940189be99d60c12dad69296b2533f94a33ccf592afe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22920",
    "kind": "arxiv",
    "version": 1
  }
}