Pith Number

pith:Q4XTVL5J

pith:2026:Q4XTVL5JD4K5PN7VTMDTXRTTXK

not attested not anchored not stored refs pending

Smooth categories in a 6 functor formalism and compact generation for nuclear categories in analytic geometry

Matteo Montagnani

arxiv:2605.21024 v1 · 2026-05-20 · math.AG · 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{Q4XTVL5JD4K5PN7VTMDTXRTTXK}

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	2026-05-21T01:05:32.972957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

872f3aafa91f15d7b7f59b073bc673baa1a8ed216870504dbd13dfabb734d22f

Aliases

arxiv: 2605.21024 · arxiv_version: 2605.21024v1 · doi: 10.48550/arxiv.2605.21024 · pith_short_12: Q4XTVL5JD4K5 · pith_short_16: Q4XTVL5JD4K5PN7V · pith_short_8: Q4XTVL5J

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/Q4XTVL5JD4K5PN7VTMDTXRTTXK \
  | 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: 872f3aafa91f15d7b7f59b073bc673baa1a8ed216870504dbd13dfabb734d22f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c323715294837bbdec784a44471cfc8c2ccbb0056b4448ab5e4c8f6b8505c62d",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-20T10:57:40Z",
    "title_canon_sha256": "1094c1f978375c63ba492c59f4fe1e8c7f337bda31af24afc0e8d3567a6069a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21024",
    "kind": "arxiv",
    "version": 1
  }
}