Pith Number

pith:WRAVL5EN

pith:2016:WRAVL5ENCKPNCVUBK4KYCTLLJ7

not attested not anchored not stored refs pending

Categorical geometric symmetric Howe duality

Joel Kamnitzer, Sabin Cautis

arxiv:1611.02210 v2 · 2016-11-07 · math.AG · 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{WRAVL5ENCKPNCVUBK4KYCTLLJ7}

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	2026-05-18T00:33:39.537890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b44155f48d129ed156815715814d6b4ff019944efd7506c0d2c05156c15429f7

Aliases

arxiv: 1611.02210 · arxiv_version: 1611.02210v2 · doi: 10.48550/arxiv.1611.02210 · pith_short_12: WRAVL5ENCKPN · pith_short_16: WRAVL5ENCKPNCVUB · pith_short_8: WRAVL5EN

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/WRAVL5ENCKPNCVUBK4KYCTLLJ7 \
  | 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: b44155f48d129ed156815715814d6b4ff019944efd7506c0d2c05156c15429f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52f13ac17eead9ac9ecf95f673ca5636888f3f2c16f69c0c0de428a708bb163e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-07T18:44:09Z",
    "title_canon_sha256": "49097f4a449f24cfde2d687d136496807660406887ffac88d5ba3d726e4c51aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02210",
    "kind": "arxiv",
    "version": 2
  }
}