Pith Number

pith:22GGVTPS

pith:2018:22GGVTPSTMP4AJ7WQEIPEGIX7R

not attested not anchored not stored refs pending

Completion for braided enriched monoidal categories

David Penneys, Julia Plavnik, Scott Morrison

arxiv:1809.09782 v1 · 2018-09-26 · math.CT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22GGVTPSTMP4AJ7WQEIPEGIX7R}

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	2026-05-18T00:04:43.660720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d68c6acdf29b1fc027f68110f21917fc45cc44e672d1b40fbb67e7f30ead3c29

Aliases

arxiv: 1809.09782 · arxiv_version: 1809.09782v1 · doi: 10.48550/arxiv.1809.09782 · pith_short_12: 22GGVTPSTMP4 · pith_short_16: 22GGVTPSTMP4AJ7W · pith_short_8: 22GGVTPS

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/22GGVTPSTMP4AJ7WQEIPEGIX7R \
  | 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: d68c6acdf29b1fc027f68110f21917fc45cc44e672d1b40fbb67e7f30ead3c29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34175b52ecf8ebb7e373bb5349d8d299f552e483e2678d851af2d4c1710f7655",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-09-26T02:18:35Z",
    "title_canon_sha256": "8b965db5257d669c7ddcf1b71a5c297212a566ef24b065a9f76555a06ad76d58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09782",
    "kind": "arxiv",
    "version": 1
  }
}