Pith Number

pith:BDKK76M6

pith:2025:BDKK76M6MDJGE6KXHAS5E7PVQJ

not attested not anchored not stored refs pending

{\delta}-rings, perfectoid towers, and lim Cohen-Macaulay sequences

Kazuma Shimomoto, Shinnosuke Ishiro

arxiv:2509.06527 v3 · 2025-09-08 · 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{BDKK76M6MDJGE6KXHAS5E7PVQJ}

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	2026-06-02T02:04:08.656654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08d4aff99e60d26279573825d27df5825cd7a0297bb8825e1d0161c5df1db1ef

Aliases

arxiv: 2509.06527 · arxiv_version: 2509.06527v3 · doi: 10.48550/arxiv.2509.06527 · pith_short_12: BDKK76M6MDJG · pith_short_16: BDKK76M6MDJGE6KX · pith_short_8: BDKK76M6

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/BDKK76M6MDJGE6KXHAS5E7PVQJ \
  | 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: 08d4aff99e60d26279573825d27df5825cd7a0297bb8825e1d0161c5df1db1ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e8322187023785b3671eaf3f92b850348712d6c83a95e5ef65658b124afe6c3",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-09-08T10:32:59Z",
    "title_canon_sha256": "a341e149c179062f4a1c8198114fa547a968f54ef93491b3f120bee265127577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06527",
    "kind": "arxiv",
    "version": 3
  }
}