Pith Number

pith:7XDSWQJ3

pith:2026:7XDSWQJ37EYFA6AD4L6AHXMYZR

not attested not anchored not stored refs pending

Birkhoff genericity on affine subspaces in horospheres

Nimish A. Shah, Pengyu Yang

arxiv:2606.08199 v1 · 2026-06-06 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7XDSWQJ37EYFA6AD4L6AHXMYZR}

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	2026-06-09T01:05:29.814054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdc72b413bf930507803e2fc03dd98cc7e3d58452713762ee37a4b25fcc8b11f

Aliases

arxiv: 2606.08199 · arxiv_version: 2606.08199v1 · doi: 10.48550/arxiv.2606.08199 · pith_short_12: 7XDSWQJ37EYF · pith_short_16: 7XDSWQJ37EYFA6AD · pith_short_8: 7XDSWQJ3

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/7XDSWQJ37EYFA6AD4L6AHXMYZR \
  | 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: fdc72b413bf930507803e2fc03dd98cc7e3d58452713762ee37a4b25fcc8b11f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e130829224876f02cd3094e3f4de2256a4239af41fa39366507c27cdb1eea0d7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-06T14:36:16Z",
    "title_canon_sha256": "3021c8d8654bd1619aec6295f2854ab6e8a0aeb871989c3f31cb91c9e89f66cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08199",
    "kind": "arxiv",
    "version": 1
  }
}