Pith Number

pith:MBDG3R2V

pith:2026:MBDG3R2VF5DRL3W3BXJZYG2IYD

not attested not anchored not stored refs pending

EKOR and BT stratifications for basic unramified $\mathrm{GU}(1,n-1)$ Rapoport-Zink spaces

Joseph Muller

arxiv:2606.31940 v1 · 2026-06-30 · 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{MBDG3R2VF5DRL3W3BXJZYG2IYD}

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	2026-07-01T01:18:26.026332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60466dc7552f4715eedb0dd39c1b48c0d73900fb3dd9d2c69bcb75069b6358e7

Aliases

arxiv: 2606.31940 · arxiv_version: 2606.31940v1 · doi: 10.48550/arxiv.2606.31940 · pith_short_12: MBDG3R2VF5DR · pith_short_16: MBDG3R2VF5DRL3W3 · pith_short_8: MBDG3R2V

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/MBDG3R2VF5DRL3W3BXJZYG2IYD \
  | 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: 60466dc7552f4715eedb0dd39c1b48c0d73900fb3dd9d2c69bcb75069b6358e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52904c241e9f562ba77bdc815b3e1eead8fdd88eea3c02388c2601391ebe3b4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-30T16:45:00Z",
    "title_canon_sha256": "64717b7c10dc43997466c1274f4922a71b5043886e3f58f0f194c4b91fda71c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31940",
    "kind": "arxiv",
    "version": 1
  }
}