Pith Number

pith:MIKCNJ4C

pith:2016:MIKCNJ4CBFJXUW4EUJKY23VYPZ

not attested not anchored not stored refs pending

Koszul duality between Higgs and Coulomb categories $\mathcal{O}$

Ben Webster

arxiv:1611.06541 v5 · 2016-11-20 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MIKCNJ4CBFJXUW4EUJKY23VYPZ}

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.

Cited by

1 paper in Pith

Advancements in Functorial Homological Mirror Symmetry

Receipt and verification

First computed	2026-07-05T08:57:31.715133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

621426a78209537a5b84a2558d6eb87e4243b1bb0d86c775d0dedbf05f32fc12

Aliases

arxiv: 1611.06541 · arxiv_version: 1611.06541v5 · doi: 10.48550/arxiv.1611.06541 · pith_short_12: MIKCNJ4CBFJX · pith_short_16: MIKCNJ4CBFJXUW4E · pith_short_8: MIKCNJ4C

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/MIKCNJ4CBFJXUW4EUJKY23VYPZ \
  | 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: 621426a78209537a5b84a2558d6eb87e4243b1bb0d86c775d0dedbf05f32fc12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfc69ab3069c4d28ebfdedccb3313349e0db10e4d429fa1b920b9106795af6a2",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-11-20T16:32:47Z",
    "title_canon_sha256": "2f7a0fa1d296b3bb492fbb60f562d78d73f7b11cba67e9106238bd48fa02c75a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06541",
    "kind": "arxiv",
    "version": 5
  }
}