Pith Number

pith:K3PQMV6C

pith:2019:K3PQMV6CFHA6IAWHDYR7F2ERNA

not attested not anchored not stored refs pending

Tensor product of the Fock representation with its dual and the Deligne category

Vera Serganova

arxiv:1908.11509 v1 · 2019-08-30 · 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{K3PQMV6CFHA6IAWHDYR7F2ERNA}

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	2026-07-05T00:00:37.229201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56df0657c229c1e402c71e23f2e891680e2648bebabce828abb90b8e3cb8421a

Aliases

arxiv: 1908.11509 · arxiv_version: 1908.11509v1 · doi: 10.48550/arxiv.1908.11509 · pith_short_12: K3PQMV6CFHA6 · pith_short_16: K3PQMV6CFHA6IAWH · pith_short_8: K3PQMV6C

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/K3PQMV6CFHA6IAWHDYR7F2ERNA \
  | 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: 56df0657c229c1e402c71e23f2e891680e2648bebabce828abb90b8e3cb8421a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bb2761dd02a8da2fe0ee54fcf3c18c52cd3f816ca72b67d3bca8a9d8cee35cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-08-30T02:16:53Z",
    "title_canon_sha256": "f82ad890ebc0dd342df01962fb1d00d700f9a3a08bf7374827e78fa467dd0c82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.11509",
    "kind": "arxiv",
    "version": 1
  }
}