Pith Number

pith:MX4VQBZP

pith:2023:MX4VQBZP5RN4YEZNVNV55Y2TOW

not attested not anchored not stored refs pending

Local duality theorems for commutative algebraic groups

Cristian D. Gonzalez-Aviles

arxiv:2305.08699 v4 · 2023-05-15 · math.NT · math.AG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MX4VQBZP5RN4YEZNVNV55Y2TOW}

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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.

Cited by

1 paper in Pith

Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields

Receipt and verification

First computed	2026-07-05T07:40:21.454990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65f958072fec5bcc132dab6bdee35375abe4f0b7db20a9769356dbff5fb7600b

Aliases

arxiv: 2305.08699 · arxiv_version: 2305.08699v4 · doi: 10.48550/arxiv.2305.08699 · pith_short_12: MX4VQBZP5RN4 · pith_short_16: MX4VQBZP5RN4YEZN · pith_short_8: MX4VQBZP

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/MX4VQBZP5RN4YEZNVNV55Y2TOW \
  | 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: 65f958072fec5bcc132dab6bdee35375abe4f0b7db20a9769356dbff5fb7600b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9616e0f327d4ffb90d93f5781642f2627dde05dab0e274b7c8ba195d92976c08",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-05-15T15:00:37Z",
    "title_canon_sha256": "b5388269e15a00be809dba815caf445b0ac91e9262ea1ff4e250bcb41df3066b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.08699",
    "kind": "arxiv",
    "version": 4
  }
}