Pith Number

pith:T5LVIO6G

pith:2015:T5LVIO6GH4VFVETDN3CKBLFZ33

not attested not anchored not stored refs pending

Generalized adjoint actions

Arkady Berenstein, Vladimir Retakh

arxiv:1506.07071 v4 · 2015-06-23 · math.QA · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5LVIO6GH4VFVETDN3CKBLFZ33}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:36:25.412006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f57543bc63f2a5a92636ec4a0acb9deeabe0648431105a15049a9d93da4d0c2

Aliases

arxiv: 1506.07071 · arxiv_version: 1506.07071v4 · doi: 10.48550/arxiv.1506.07071 · pith_short_12: T5LVIO6GH4VF · pith_short_16: T5LVIO6GH4VFVETD · pith_short_8: T5LVIO6G

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/T5LVIO6GH4VFVETDN3CKBLFZ33 \
  | 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: 9f57543bc63f2a5a92636ec4a0acb9deeabe0648431105a15049a9d93da4d0c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c7a79e41dba04a39e03d91fe4a94afaab486b1902ddda170641a63113c16b04",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-06-23T16:10:04Z",
    "title_canon_sha256": "3d6784d9c57c7c19946245b26c9deb50b61746df086658b32abafac779441a73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07071",
    "kind": "arxiv",
    "version": 4
  }
}