Pith Number

pith:D4UF2DHE

pith:2026:D4UF2DHEMPN7TZVM5OOBYKHMUE

not attested not anchored not stored refs pending

BCM-regularity of diagonal hypersurfaces and plus-pure thresholds in mixed characteristic

Tatsuki Yamaguchi

arxiv:2605.22419 v1 · 2026-05-21 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4UF2DHEMPN7TZVM5OOBYKHMUE}

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	2026-05-22T01:04:42.362882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f285d0ce463dbf9e6aceb9c1c28eca116123337971ebc6e6b5c9780bc58492c

Aliases

arxiv: 2605.22419 · arxiv_version: 2605.22419v1 · doi: 10.48550/arxiv.2605.22419 · pith_short_12: D4UF2DHEMPN7 · pith_short_16: D4UF2DHEMPN7TZVM · pith_short_8: D4UF2DHE

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/D4UF2DHEMPN7TZVM5OOBYKHMUE \
  | 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: 1f285d0ce463dbf9e6aceb9c1c28eca116123337971ebc6e6b5c9780bc58492c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5967ec5fb29ea95dc5a9a9b018f855924b7298f63ef51114d01910c1d17e3849",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-05-21T12:40:30Z",
    "title_canon_sha256": "6eedfa76eab628c9ac6da7087aad0c7f2dd364421276ff9d8382896f1dd59089"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22419",
    "kind": "arxiv",
    "version": 1
  }
}