Pith Number

pith:GGSUVGPX

pith:2022:GGSUVGPXYHA6EZPI72O7N6BR25

not attested not anchored not stored refs pending

A $p$-Adic 6-Functor Formalism in Rigid-Analytic Geometry

Lucas Mann

arxiv:2206.02022 v1 · 2022-06-04 · 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{GGSUVGPXYHA6EZPI72O7N6BR25}

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.

Cited by

7 papers in Pith

The span-squares adjunction

Locally analytic completed cohomology

Syntomic cycle classes and prismatic Poincar\'e duality

Solid locally analytic representations

A Jacquet-Langlands functor for $p$-adic locally analytic representations

Receipt and verification

First computed	2026-07-05T04:28:59.522628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31a54a99f7c1c1e265e8fe9df6f831d77b6d5c1dd8d2fe8deaa882b73275caf6

Aliases

arxiv: 2206.02022 · arxiv_version: 2206.02022v1 · doi: 10.48550/arxiv.2206.02022 · pith_short_12: GGSUVGPXYHA6 · pith_short_16: GGSUVGPXYHA6EZPI · pith_short_8: GGSUVGPX

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/GGSUVGPXYHA6EZPI72O7N6BR25 \
  | 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: 31a54a99f7c1c1e265e8fe9df6f831d77b6d5c1dd8d2fe8deaa882b73275caf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07795104946e455e4d928d447e1576e1facede48b0a4344ac6ea3d044dedb337",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-06-04T16:37:34Z",
    "title_canon_sha256": "f6288fee8071e6d517efb685568b433c78cd253a1aa149f8c52ef3a756794d9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.02022",
    "kind": "arxiv",
    "version": 1
  }
}