Pith Number

pith:BSHGGCQ3

pith:2026:BSHGGCQ3WQDT6FLW7MVYQIJ2YL

not attested not anchored not stored refs pending

A condensed proof of the pro-\'etale and \'etale exodromy theorems

Remy van Dobben de Bruyn

arxiv:2605.22499 v1 · 2026-05-21 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BSHGGCQ3WQDT6FLW7MVYQIJ2YL}

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	2026-05-22T01:04:47.770118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c8e630a1bb4073f1576fb2b88213ac2f91f8f768f14b484c5c5087d8d75aa6f

Aliases

arxiv: 2605.22499 · arxiv_version: 2605.22499v1 · doi: 10.48550/arxiv.2605.22499 · pith_short_12: BSHGGCQ3WQDT · pith_short_16: BSHGGCQ3WQDT6FLW · pith_short_8: BSHGGCQ3

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/BSHGGCQ3WQDT6FLW7MVYQIJ2YL \
  | 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: 0c8e630a1bb4073f1576fb2b88213ac2f91f8f768f14b484c5c5087d8d75aa6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71f1fb3d57687010a77ad1fcc2ab0b6a0aa206bab19f30491b7a0cd4c9550076",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-21T13:50:18Z",
    "title_canon_sha256": "6db59bb82d98d50245a667a2ab9cf9b4ad245f6975ca1722459308536b34d18a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22499",
    "kind": "arxiv",
    "version": 1
  }
}