Pith Number

pith:UJD4UFCU

pith:2026:UJD4UFCULIVHVDFIEMVYY2O6SC

not attested not anchored not stored refs pending

Left exact monoidal localizations from tidy maps

Andr\'e Joyal, Eric Finster, Georg Biedermann, Mathieu Anel

arxiv:2606.04263 v1 · 2026-06-02 · math.AT · 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{UJD4UFCULIVHVDFIEMVYY2O6SC}

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	2026-06-04T01:09:00.847418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a247ca14545a2a7a8ca8232b8c69de909e57114017a20aa9a2748f86a431e32a

Aliases

arxiv: 2606.04263 · arxiv_version: 2606.04263v1 · doi: 10.48550/arxiv.2606.04263 · pith_short_12: UJD4UFCULIVH · pith_short_16: UJD4UFCULIVHVDFI · pith_short_8: UJD4UFCU

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/UJD4UFCULIVHVDFIEMVYY2O6SC \
  | 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: a247ca14545a2a7a8ca8232b8c69de909e57114017a20aa9a2748f86a431e32a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e175615a8641881d491a9915a76cba4d42a1542b980cb405afb122628c7164bf",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-06-02T22:30:21Z",
    "title_canon_sha256": "d00063e5648883168e5a185dae3fd9c646ed46a2bcba75e094980f38e0babf93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04263",
    "kind": "arxiv",
    "version": 1
  }
}