Pith Number

pith:53GQFYQR

pith:2004:53GQFYQRCZ6NR5GSZREAX6AB5S

not attested not anchored not stored refs pending

Separable Functors and Formal Smoothness

Alessandro Ardizzoni

arxiv:math/0407095 v4 · 2004-07-07 · math.QA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53GQFYQRCZ6NR5GSZREAX6AB5S}

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	2026-05-18T04:41:45.042500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eecd02e211167cd8f4d2cc480bf801eca9c9a95fb806a1a601185766c775f1bf

Aliases

arxiv: math/0407095 · arxiv_version: math/0407095v4 · doi: 10.48550/arxiv.math/0407095 · pith_short_12: 53GQFYQRCZ6N · pith_short_16: 53GQFYQRCZ6NR5GS · pith_short_8: 53GQFYQR

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/53GQFYQRCZ6NR5GSZREAX6AB5S \
  | 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: eecd02e211167cd8f4d2cc480bf801eca9c9a95fb806a1a601185766c775f1bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e90ddf18700d71a7fc29f2f273a2c762b596645668c039c0dfdddac3a7f533d1",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2004-07-07T07:18:47Z",
    "title_canon_sha256": "195e4872f49e479a97383fc78d0472c58e582edbaae140fbd3a8917aedd0a01a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407095",
    "kind": "arxiv",
    "version": 4
  }
}