Pith Number

pith:MRVP4TFD

pith:2018:MRVP4TFDBDHJ5CBCDBY6QQ33RA

not attested not anchored not stored refs pending

Decomposing Frobenius Heisenberg categories

Raj Gandhi

arxiv:1809.03613 v2 · 2018-09-10 · math.RT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRVP4TFDBDHJ5CBCDBY6QQ33RA}

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	2026-05-17T23:40:18.067634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

646afe4ca308ce9e88221871e8437b881535ee7e4f3cad2473d8124acce49d16

Aliases

arxiv: 1809.03613 · arxiv_version: 1809.03613v2 · doi: 10.48550/arxiv.1809.03613 · pith_short_12: MRVP4TFDBDHJ · pith_short_16: MRVP4TFDBDHJ5CBC · pith_short_8: MRVP4TFD

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/MRVP4TFDBDHJ5CBCDBY6QQ33RA \
  | 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: 646afe4ca308ce9e88221871e8437b881535ee7e4f3cad2473d8124acce49d16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d157c78f775576615061839cf7e89f8994a2495614e0af4e57258d5065210af8",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-09-10T21:56:34Z",
    "title_canon_sha256": "5b3efed4cfb09f39e3954d48448b905c1edf5a52566c9a7439514c7cce27b1d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03613",
    "kind": "arxiv",
    "version": 2
  }
}