Pith Number

pith:HXZJNQDJ

pith:2023:HXZJNQDJD6MV4IRFRKFPQDH5UX

not attested not anchored not stored refs pending

Maximal self-orthogonal modules and a new generalization of tilting modules

Haruhisa Enomoto

arxiv:2301.13498 v2 · 2023-01-31 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXZJNQDJD6MV4IRFRKFPQDH5UX}

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

Projectively Wakamatsu Tilting Modules over One-Point Extensions

Receipt and verification

First computed	2026-07-05T05:58:53.335413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3df296c0691f995e22258a8af80cfda5eda486f7722ad34b4b050d0aaa433110

Aliases

arxiv: 2301.13498 · arxiv_version: 2301.13498v2 · doi: 10.48550/arxiv.2301.13498 · pith_short_12: HXZJNQDJD6MV · pith_short_16: HXZJNQDJD6MV4IRF · pith_short_8: HXZJNQDJ

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/HXZJNQDJD6MV4IRFRKFPQDH5UX \
  | 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: 3df296c0691f995e22258a8af80cfda5eda486f7722ad34b4b050d0aaa433110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c15ada6dc66acd48686d856038756592989376b573a1714b5c82488fb6581e31",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2023-01-31T09:30:05Z",
    "title_canon_sha256": "43114cda74cf5d0e7ab67aa41be864f91a402936df558330711efe1fdca3230d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.13498",
    "kind": "arxiv",
    "version": 2
  }
}