Pith Number

pith:CYD3ZPKE

pith:2026:CYD3ZPKEKSAJGPLKCZ2YCE5RMF

not attested not anchored not stored refs pending

Orbital counting for relatively Anosov groups

Andrew Zimmer, Feng Zhu, Richard Canary, Tengren Zhang

arxiv:2607.25773 v1 · 2026-07-28 · math.DS · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYD3ZPKEKSAJGPLKCZ2YCE5RMF}

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	2026-07-29T01:26:01.919361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1607bcbd445480933d6a16758113b1617c3d10f5f800317ffbdba1dc42bddbb7

Aliases

arxiv: 2607.25773 · arxiv_version: 2607.25773v1 · doi: 10.48550/arxiv.2607.25773 · pith_short_12: CYD3ZPKEKSAJ · pith_short_16: CYD3ZPKEKSAJGPLK · pith_short_8: CYD3ZPKE

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/CYD3ZPKEKSAJGPLKCZ2YCE5RMF \
  | 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: 1607bcbd445480933d6a16758113b1617c3d10f5f800317ffbdba1dc42bddbb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db1e3f4ff8eec8f85e221773175bc3cdd0e643a2e0506ea6619dfa3db8538eb2",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-28T14:30:35Z",
    "title_canon_sha256": "d43d0b5871a2df0f90b3e2c021fe97dc9f82b278c18f5c09f0dc2cee89a1d97b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25773",
    "kind": "arxiv",
    "version": 1
  }
}