Pith Number

pith:Z5KGJ2CE

pith:2025:Z5KGJ2CEO32SDX4XOPIFM2Z2FK

not attested not anchored not stored refs pending

Quasi-canonical lifting of projective varieties in positive characteristic

Kazuma Shimomoto, Ryo Ishizuka

arxiv:2506.01345 v1 · 2025-06-02 · math.AG · 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{Z5KGJ2CEO32SDX4XOPIFM2Z2FK}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T11:14:12.021313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf5464e84476f521df9773d0566b3a2a9d03edb6fe4f569ef0fbc8f858342e09

Aliases

arxiv: 2506.01345 · arxiv_version: 2506.01345v1 · doi: 10.48550/arxiv.2506.01345 · pith_short_12: Z5KGJ2CEO32S · pith_short_16: Z5KGJ2CEO32SDX4X · pith_short_8: Z5KGJ2CE

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/Z5KGJ2CEO32SDX4XOPIFM2Z2FK \
  | 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: cf5464e84476f521df9773d0566b3a2a9d03edb6fe4f569ef0fbc8f858342e09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f4c1515eef723bf210a8b22a0522c46418fcb5d70e704f609d793c0abb711f3",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-02T06:09:09Z",
    "title_canon_sha256": "9c49b1c4dda546686fbac3d10dfa8e86767dccbdd398205aac5c6aa3a82a5da2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01345",
    "kind": "arxiv",
    "version": 1
  }
}