Pith Number

pith:WBKE333C

pith:2011:WBKE333C4WDSA4J7227HYEYY3K

not attested not anchored not stored refs pending

Derived equivalences of actions of a category

Hideto Asashiba

arxiv:1111.2239 v2 · 2011-11-09 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBKE333C4WDSA4J7227HYEYY3K}

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	2026-05-18T03:58:13.843448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0544def62e58720713fd6be7c1318daa0dc45ff0b3bb2acf050721ff99d8f37

Aliases

arxiv: 1111.2239 · arxiv_version: 1111.2239v2 · doi: 10.48550/arxiv.1111.2239 · pith_short_12: WBKE333C4WDS · pith_short_16: WBKE333C4WDSA4J7 · pith_short_8: WBKE333C

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/WBKE333C4WDSA4J7227HYEYY3K \
  | 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: b0544def62e58720713fd6be7c1318daa0dc45ff0b3bb2acf050721ff99d8f37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2518963c0be6c122436e762d0a32b52f51e84930e6f8ce34c3f482fedb2a471",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-11-09T15:27:10Z",
    "title_canon_sha256": "ea8533b5b8cae771e5f21570ee9bd92caf7c6355face695180e07c5d14938c2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2239",
    "kind": "arxiv",
    "version": 2
  }
}