Pith Number

pith:3OVJZMU4

pith:2011:3OVJZMU4VYHTMYS3AKBAZ6UK6L

not attested not anchored not stored refs pending

An alternative description of the Drinfeld p-adic half-plane

Michael Rapoport, Stephen Kudla

arxiv:1108.5713 v2 · 2011-08-29 · 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{3OVJZMU4VYHTMYS3AKBAZ6UK6L}

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	2026-05-18T03:37:09.114223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbaa9cb29cae0f36625b02820cfa8af2d058cbe6c734424894b7e20693aa8de8

Aliases

arxiv: 1108.5713 · arxiv_version: 1108.5713v2 · doi: 10.48550/arxiv.1108.5713 · pith_short_12: 3OVJZMU4VYHT · pith_short_16: 3OVJZMU4VYHTMYS3 · pith_short_8: 3OVJZMU4

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/3OVJZMU4VYHTMYS3AKBAZ6UK6L \
  | 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: dbaa9cb29cae0f36625b02820cfa8af2d058cbe6c734424894b7e20693aa8de8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "013120a8810bb1c04ebacac23aa46995c3d05c0080a69fdad34a5ba831395563",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-29T19:12:03Z",
    "title_canon_sha256": "41fe6285e74923d13ab18470163cc6134a7b60fe09457d8bb6e06f31eceacb32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5713",
    "kind": "arxiv",
    "version": 2
  }
}