Pith Number

pith:VVLJ5AX5

pith:2020:VVLJ5AX5HVR3AJ2T22AR6FYOFM

not attested not anchored not stored refs pending

Foundations of Frobenius Heisenberg categories

Alistair Savage, Ben Webster, Jonathan Brundan

arxiv:2007.01642 v3 · 2020-07-03 · 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{VVLJ5AX5HVR3AJ2T22AR6FYOFM}

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	2026-07-05T06:54:58.719588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad569e82fd3d63b02753d6811f170e2b0b9f2569024b971a89c83d1156a187fb

Aliases

arxiv: 2007.01642 · arxiv_version: 2007.01642v3 · doi: 10.48550/arxiv.2007.01642 · pith_short_12: VVLJ5AX5HVR3 · pith_short_16: VVLJ5AX5HVR3AJ2T · pith_short_8: VVLJ5AX5

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/VVLJ5AX5HVR3AJ2T22AR6FYOFM \
  | 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: ad569e82fd3d63b02753d6811f170e2b0b9f2569024b971a89c83d1156a187fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eda1fb624690f396b5df8635dbec60968ab3ad2fc650bcd020b0ec9aeb3ab781",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2020-07-03T12:21:04Z",
    "title_canon_sha256": "f6b5bbd72db467974f81d43952d692a9a6292518761c7a85ba8c4be12dd637a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.01642",
    "kind": "arxiv",
    "version": 3
  }
}