Pith Number

pith:T4NJ5CPX

pith:2024:T4NJ5CPXFJ72RAHO77UT3MKTIW

not attested not anchored not stored refs pending

Duality for Arithmetic $p$-adic Pro-\'etale Cohomology of Analytic Spaces

Zhenghui Li

arxiv:2412.11786 v3 · 2024-12-16 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T4NJ5CPXFJ72RAHO77UT3MKTIW}

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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	2026-07-05T11:20:49.037835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f1a9e89f72a7fa880eeffe93db153458595dd6c5f91ae69db98bdb0d3aaf0b9

Aliases

arxiv: 2412.11786 · arxiv_version: 2412.11786v3 · doi: 10.48550/arxiv.2412.11786 · pith_short_12: T4NJ5CPXFJ72 · pith_short_16: T4NJ5CPXFJ72RAHO · pith_short_8: T4NJ5CPX

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/T4NJ5CPXFJ72RAHO77UT3MKTIW \
  | 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: 9f1a9e89f72a7fa880eeffe93db153458595dd6c5f91ae69db98bdb0d3aaf0b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f968ee65a6a8d362167e6241aaa11b1349712dc6ea6ad8ac8a783b0e655a45bb",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-16T13:57:22Z",
    "title_canon_sha256": "a8c2d5e81079d4ba836143ebee22f68fcba80026217d81994a47860192f526bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11786",
    "kind": "arxiv",
    "version": 3
  }
}