Pith Number

pith:TPNQSK5I

pith:2026:TPNQSK5ICWQUODUQVBJOIINPID

not attested not anchored not stored refs pending

Exponentiable Virtual Double Categories and Representability of Exponentials

Ea E Thompson, Kevin D. Carlson

arxiv:2605.20586 v1 · 2026-05-20 · 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{TPNQSK5ICWQUODUQVBJOIINPID}

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	2026-05-21T01:04:43.543010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bdb092ba815a1470e90a852e421af40c562d904ec5d3909ded72c102bd83f04

Aliases

arxiv: 2605.20586 · arxiv_version: 2605.20586v1 · doi: 10.48550/arxiv.2605.20586 · pith_short_12: TPNQSK5ICWQU · pith_short_16: TPNQSK5ICWQUODUQ · pith_short_8: TPNQSK5I

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/TPNQSK5ICWQUODUQVBJOIINPID \
  | 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: 9bdb092ba815a1470e90a852e421af40c562d904ec5d3909ded72c102bd83f04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4383a20c0c786c4767b9d32e7b163d509e8ddeed5bc1dd4dba5b6a077407bc57",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-05-20T00:48:45Z",
    "title_canon_sha256": "e222c584d71edfff7d97a7ae560200c1e764528c84134efa10bebdc58616758c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20586",
    "kind": "arxiv",
    "version": 1
  }
}