Pith Number

pith:GHPK3XPT

pith:2026:GHPK3XPTPSDV2VMH4MMDLT2LHM

not attested not anchored not stored refs pending

Regular rings and perfectoid towers

Kazuki Hayashi

arxiv:2605.27337 v1 · 2026-05-26 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHPK3XPTPSDV2VMH4MMDLT2LHM}

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	2026-05-27T02:06:18.722531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31deadddf37c875d5587e31835cf4b3b047674f23ea1dd8f8d33c90621b0a44d

Aliases

arxiv: 2605.27337 · arxiv_version: 2605.27337v1 · doi: 10.48550/arxiv.2605.27337 · pith_short_12: GHPK3XPTPSDV · pith_short_16: GHPK3XPTPSDV2VMH · pith_short_8: GHPK3XPT

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/GHPK3XPTPSDV2VMH4MMDLT2LHM \
  | 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: 31deadddf37c875d5587e31835cf4b3b047674f23ea1dd8f8d33c90621b0a44d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aae5079c3c147aa9e17b9f344e3ad8ced62acc3657cef001c91f6126d5f9351",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-05-26T17:44:35Z",
    "title_canon_sha256": "afc5a8f201ab9624e40857108a38f58cf060b4a5fc0a187605b7203537d5b3f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27337",
    "kind": "arxiv",
    "version": 1
  }
}