Pith Number

pith:3B6WBAIX

pith:2016:3B6WBAIX7U3OQSCVIGANT56F6A

not attested not anchored not stored refs pending

Relative derived dimensions for cotilting modules

Michio Yoshiwaki

arxiv:1611.00535 v1 · 2016-11-02 · math.RT · math.AC · 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{3B6WBAIX7U3OQSCVIGANT56F6A}

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	2026-05-18T01:00:32.500700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d87d608117fd36e848554180d9f7c5f0330f00bb1f226beef26178d264ab07d5

Aliases

arxiv: 1611.00535 · arxiv_version: 1611.00535v1 · doi: 10.48550/arxiv.1611.00535 · pith_short_12: 3B6WBAIX7U3O · pith_short_16: 3B6WBAIX7U3OQSCV · pith_short_8: 3B6WBAIX

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/3B6WBAIX7U3OQSCVIGANT56F6A \
  | 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: d87d608117fd36e848554180d9f7c5f0330f00bb1f226beef26178d264ab07d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beddc14be4700ba63505dfd380455de8b3acc9d034e6bb1894ba2af238c2c4b2",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-11-02T10:27:47Z",
    "title_canon_sha256": "0284a62a0348418470dc1687622bd015cf37950a12dc76caefc8959e228cc349"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00535",
    "kind": "arxiv",
    "version": 1
  }
}