Pith Number

pith:7Q5WC2QC

pith:2026:7Q5WC2QCYOOXXEWK5OGMFIY5ST

not attested not anchored not stored refs pending

Structural properties and tilting correspondences of perfectoid towers

Kazuki Hayashi

arxiv:2605.27283 v1 · 2026-05-26 · math.AC · math.AG · 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{7Q5WC2QCYOOXXEWK5OGMFIY5ST}

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	2026-05-27T02:06:15.321041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc3b616a02c39d7b92caeb8cc2a31d94e038733591054cc484d523adfacbbb56

Aliases

arxiv: 2605.27283 · arxiv_version: 2605.27283v1 · doi: 10.48550/arxiv.2605.27283 · pith_short_12: 7Q5WC2QCYOOX · pith_short_16: 7Q5WC2QCYOOXXEWK · pith_short_8: 7Q5WC2QC

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/7Q5WC2QCYOOXXEWK5OGMFIY5ST \
  | 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: fc3b616a02c39d7b92caeb8cc2a31d94e038733591054cc484d523adfacbbb56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef8eb5a7be59930b527ca889299fade4e88592f6892a02d13a86689ef555fe3b",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-05-26T17:00:57Z",
    "title_canon_sha256": "fdbcd8af0647385dc634657272da171554bc97d99a49304a3a6d255d98df9016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27283",
    "kind": "arxiv",
    "version": 1
  }
}