Pith Number

pith:KUFNFRVP

pith:2005:KUFNFRVPJDCYAHMGWQPMR3ZSY4

not attested not anchored not stored refs pending

The Auslander-Reiten Translation in Submodule Categories

Claus Michael Ringel, Markus Schmidmeier

arxiv:math/0504301 v2 · 2005-04-14 · math.RT · 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{KUFNFRVPJDCYAHMGWQPMR3ZSY4}

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	2026-05-17T23:42:09.246995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

550ad2c6af48c5801d86b41ec8ef32c70df0f4425f96e9903869ee0135dea1a1

Aliases

arxiv: math/0504301 · arxiv_version: math/0504301v2 · doi: 10.48550/arxiv.math/0504301 · pith_short_12: KUFNFRVPJDCY · pith_short_16: KUFNFRVPJDCYAHMG · pith_short_8: KUFNFRVP

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/KUFNFRVPJDCYAHMGWQPMR3ZSY4 \
  | 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: 550ad2c6af48c5801d86b41ec8ef32c70df0f4425f96e9903869ee0135dea1a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bcb7ba7c5cdcab1eeecb5ba98f353b5225b2336d0e849a24cfb1007e5ce0b30",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2005-04-14T17:54:52Z",
    "title_canon_sha256": "104af1b635ad092be72a793774ebc124582210871b633c1066dc0e1ed03e8f26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504301",
    "kind": "arxiv",
    "version": 2
  }
}