Pith Number

pith:FHMPU3PI

pith:2020:FHMPU3PIU6AVWPT2NWVZMF4K5I

not attested not anchored not stored refs pending

Finitary birepresentations of finitary bicategories

Daniel Tubbenhauer, Marco Mackaay, Vanessa Miemietz, Volodymyr Mazorchuk, Xiaoting Zhang

arxiv:2008.01658 v3 · 2020-08-04 · 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{FHMPU3PIU6AVWPT2NWVZMF4K5I}

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	2026-06-02T01:03:27.485457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29d8fa6de8a7815b3e7a6dab96178aea389c5932594d6f0e33c62b05b1a57d7e

Aliases

arxiv: 2008.01658 · arxiv_version: 2008.01658v3 · doi: 10.48550/arxiv.2008.01658 · pith_short_12: FHMPU3PIU6AV · pith_short_16: FHMPU3PIU6AVWPT2 · pith_short_8: FHMPU3PI

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/FHMPU3PIU6AVWPT2NWVZMF4K5I \
  | 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: 29d8fa6de8a7815b3e7a6dab96178aea389c5932594d6f0e33c62b05b1a57d7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ab610d134a5453ce8b0fe2d3f3caec5c142cf1a6e47bf95122f3d5d7cc6b442",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2020-08-04T15:44:46Z",
    "title_canon_sha256": "d8efdd2628a917832c52db5bd2c1ef9b58ad5d6c14c759497a1c6b3b3494d9c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.01658",
    "kind": "arxiv",
    "version": 3
  }
}