Pith Number

pith:HLP7H3GD

pith:2023:HLP7H3GDL5YAUPM74VZ3GTOKNN

not attested not anchored not stored refs pending

Arithmetic duality for $p$-adic pro-\'etale cohomology of analytic curves

Pierre Colmez, Sally Gilles, Wies{\l}awa Nizio{\l}

arxiv:2308.07712 v2 · 2023-08-15 · math.NT · math.AG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HLP7H3GDL5YAUPM74VZ3GTOKNN}

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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

Compactly supported $p$-adic pro-\'etale cohomology of analytic varieties

Receipt and verification

First computed	2026-07-05T06:44:35.379233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3adff3ecc35f700a3d9fe573b34dca6b55fbb229b6fb96c989c70e7496b1b109

Aliases

arxiv: 2308.07712 · arxiv_version: 2308.07712v2 · doi: 10.48550/arxiv.2308.07712 · pith_short_12: HLP7H3GDL5YA · pith_short_16: HLP7H3GDL5YAUPM7 · pith_short_8: HLP7H3GD

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/HLP7H3GDL5YAUPM74VZ3GTOKNN \
  | 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: 3adff3ecc35f700a3d9fe573b34dca6b55fbb229b6fb96c989c70e7496b1b109

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "706f8141b099d2de94b05eb0228a5a044a756b7fa8a4247df669cb76bdf88d5c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-08-15T11:45:47Z",
    "title_canon_sha256": "ebf9058bf95979ec58f5c8832a17dcd13b63cc657235812235c38599aa8258e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.07712",
    "kind": "arxiv",
    "version": 2
  }
}