Pith Number

pith:M4MGKOEJ

pith:2010:M4MGKOEJ6NKUQ2SC3HGOGOFXBB

not attested not anchored not stored refs pending

The Weil-\'etale fundamental group of a number field II

Baptiste Morin

arxiv:1006.0525 v2 · 2010-06-02 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4MGKOEJ6NKUQ2SC3HGOGOFXBB}

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	2026-05-18T04:40:08.203018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6718653889f355486a42d9cce338b70868064fc63cfbf61feb3f69711da09205

Aliases

arxiv: 1006.0525 · arxiv_version: 1006.0525v2 · doi: 10.48550/arxiv.1006.0525 · pith_short_12: M4MGKOEJ6NKU · pith_short_16: M4MGKOEJ6NKUQ2SC · pith_short_8: M4MGKOEJ

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/M4MGKOEJ6NKUQ2SC3HGOGOFXBB \
  | 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: 6718653889f355486a42d9cce338b70868064fc63cfbf61feb3f69711da09205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07a40d082340d61cec759e687bb60d1fb82277e73fa192b87ce589508bb974e1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-06-02T23:48:50Z",
    "title_canon_sha256": "98680506a497b762485e94ce1cdbe9a575b9d2de2f058df78dd2513b45db3c73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0525",
    "kind": "arxiv",
    "version": 2
  }
}