Pith Number

pith:A4P2M4CU

pith:2009:A4P2M4CUCLLF26WNTL3RLEADYN

not attested not anchored not stored refs pending

The canonical embedding of an unramified morphism in an \'etale morphism

David Rydh

arxiv:0910.0056 v2 · 2009-10-01 · 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{A4P2M4CUCLLF26WNTL3RLEADYN}

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	2026-05-18T03:56:22.965935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

071fa6705412d65d7acd9af7159003c35685c96c7a76d34c9e64ac86c3509e3d

Aliases

arxiv: 0910.0056 · arxiv_version: 0910.0056v2 · doi: 10.48550/arxiv.0910.0056 · pith_short_12: A4P2M4CUCLLF · pith_short_16: A4P2M4CUCLLF26WN · pith_short_8: A4P2M4CU

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/A4P2M4CUCLLF26WNTL3RLEADYN \
  | 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: 071fa6705412d65d7acd9af7159003c35685c96c7a76d34c9e64ac86c3509e3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03f5b77d3f8e6c60960fce17954ee26059eccb65e077a460c5fc84eb1ba6f4e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-10-01T00:40:51Z",
    "title_canon_sha256": "f01f641d7673cd8984a14d9a336c94905e9e7260eab3cff6e173ff620e322673"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0056",
    "kind": "arxiv",
    "version": 2
  }
}