Pith Number

pith:UDF5PYRM

pith:2016:UDF5PYRM7CGOIGZVVHYED5VADC

not attested not anchored not stored refs pending

Grothendieck rings for Lie superalgebras and the Duflo-Serganova functor

Crystal Hoyt, Shifra Reif

arxiv:1612.05815 v4 · 2016-12-17 · 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{UDF5PYRM7CGOIGZVVHYED5VADC}

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	2026-05-17T23:57:10.617257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0cbd7e22cf88ce41b35a9f041f6a0189cd6f95965b64cd750e3bfdcab152320

Aliases

arxiv: 1612.05815 · arxiv_version: 1612.05815v4 · doi: 10.48550/arxiv.1612.05815 · pith_short_12: UDF5PYRM7CGO · pith_short_16: UDF5PYRM7CGOIGZV · pith_short_8: UDF5PYRM

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/UDF5PYRM7CGOIGZVVHYED5VADC \
  | 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: a0cbd7e22cf88ce41b35a9f041f6a0189cd6f95965b64cd750e3bfdcab152320

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cfc87386f31e6fa4c5d25a774306270a8738e3ddf5c6f5738262af16a2e846f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-12-17T19:51:21Z",
    "title_canon_sha256": "4d4112723201faae3dd9a607ef5a9770717ce95275e89e9259dc8991ffd47383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05815",
    "kind": "arxiv",
    "version": 4
  }
}