Pith Number

pith:UHIOJWM6

pith:2025:UHIOJWM6SSYJNXNITQ44BW3JG3

not attested not anchored not stored refs pending

The Krull-Remak-Schmidt-Azumaya Theorem for idempotent complete categories

Simion Breaz

arxiv:2503.21216 v1 · 2025-03-27 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UHIOJWM6SSYJNXNITQ44BW3JG3}

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

Almost finitary birepresentation theory and applications to affine Soergel bimodules

Receipt and verification

First computed	2026-07-05T10:40:21.518853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1d0e4d99e94b096dda89c39c0db6936cb6ece8fcc9514d5110fa64e14a09026

Aliases

arxiv: 2503.21216 · arxiv_version: 2503.21216v1 · doi: 10.48550/arxiv.2503.21216 · pith_short_12: UHIOJWM6SSYJ · pith_short_16: UHIOJWM6SSYJNXNI · pith_short_8: UHIOJWM6

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/UHIOJWM6SSYJNXNITQ44BW3JG3 \
  | 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: a1d0e4d99e94b096dda89c39c0db6936cb6ece8fcc9514d5110fa64e14a09026

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b168e0fcbe77970c1c22c9ecdddaa92eb58b00b37b30898698159294c14db59",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-03-27T07:12:15Z",
    "title_canon_sha256": "277c0cb1c04a47014fe6023bd9d215b4e955ef2e2fb007ba579534a2e4270643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.21216",
    "kind": "arxiv",
    "version": 1
  }
}