Pith Number

pith:ELQMWORU

pith:2026:ELQMWORUGADGBCUBPRU3TJWN2R

not attested not anchored not stored refs pending

Exactness and Fell bundles with the approximation property over inverse semigroups

Changyuan Gao, Julian Kranz

arxiv:2601.07572 v2 · 2026-01-12 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELQMWORUGADGBCUBPRU3TJWN2R}

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	2026-05-21T01:05:14.641266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22e0cb3a343006608a817c69b9a6cdd44a3c6cedb911889e97682822782ac7f0

Aliases

arxiv: 2601.07572 · arxiv_version: 2601.07572v2 · doi: 10.48550/arxiv.2601.07572 · pith_short_12: ELQMWORUGADG · pith_short_16: ELQMWORUGADGBCUB · pith_short_8: ELQMWORU

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/ELQMWORUGADGBCUBPRU3TJWN2R \
  | 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: 22e0cb3a343006608a817c69b9a6cdd44a3c6cedb911889e97682822782ac7f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f83a8b3dcaa10e03feaebcaf892190b31d482564fa111631f42fa83c717c7883",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-01-12T14:27:26Z",
    "title_canon_sha256": "fd6d1f0089758167f975aef793950516ebd51e76ee10d003f544d656f2bbece9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.07572",
    "kind": "arxiv",
    "version": 2
  }
}