Pith Number

pith:J4PABN7J

pith:2024:J4PABN7JDSSRMAP2HZJTU6JLCX

not attested not anchored not stored refs pending

Homological smoothness of Hopf-Galois extensions

Julian Le Clainche

arxiv:2412.04365 v1 · 2024-12-05 · 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{J4PABN7JDSSRMAP2HZJTU6JLCX}

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	2026-07-05T09:45:02.889217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f1e00b7e91ca51601fa3e533a792b15cd377aedb6ea61c5582fafc97995b5fa

Aliases

arxiv: 2412.04365 · arxiv_version: 2412.04365v1 · doi: 10.48550/arxiv.2412.04365 · pith_short_12: J4PABN7JDSSR · pith_short_16: J4PABN7JDSSRMAP2 · pith_short_8: J4PABN7J

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/J4PABN7JDSSRMAP2HZJTU6JLCX \
  | 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: 4f1e00b7e91ca51601fa3e533a792b15cd377aedb6ea61c5582fafc97995b5fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fab0bfbc816068376fb1ca032591ccce4a0f807cf8de15a355946142f560feb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2024-12-05T17:30:11Z",
    "title_canon_sha256": "44f2fb562d479c54d2d93b4cb5220cbc7ead5902f6cb10348fb81fa3f2ab2f2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.04365",
    "kind": "arxiv",
    "version": 1
  }
}