Pith Number

pith:HYSVQCS6

pith:2025:HYSVQCS64BZZIS4EG26U5ISXDR

not attested not anchored not stored refs pending

Vertical unramified Brauer groups of Galois normic bundles

Yufan Liu

arxiv:2601.00052 v2 · 2025-12-31 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HYSVQCS64BZZIS4EG26U5ISXDR}

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	2026-06-23T03:14:27.890755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e25580a5ee073944b8436bd4ea2571c75c9f1fb9ae68d3d0d28eb392c9c7c47

Aliases

arxiv: 2601.00052 · arxiv_version: 2601.00052v2 · doi: 10.48550/arxiv.2601.00052 · pith_short_12: HYSVQCS64BZZ · pith_short_16: HYSVQCS64BZZIS4E · pith_short_8: HYSVQCS6

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/HYSVQCS64BZZIS4EG26U5ISXDR \
  | 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: 3e25580a5ee073944b8436bd4ea2571c75c9f1fb9ae68d3d0d28eb392c9c7c47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ec6a8d9c39e65ad388f17d126a57ad28cd314dd4ab1ea946dbc0e92d34bb895",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-12-31T18:55:02Z",
    "title_canon_sha256": "895b3c9ef280eb722ae9441eb08db5c41536df68e119867e7dd0859372c31697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.00052",
    "kind": "arxiv",
    "version": 2
  }
}