Pith Number

pith:N3FLWKKW

pith:2006:N3FLWKKW43RAKZVZMYEVMXDQZR

not attested not anchored not stored refs pending

First steps towards $p$-adic Langlands functoriality

C. Breuil, P. Schneider

arxiv:math/0603499 v1 · 2006-03-21 · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3FLWKKW43RAKZVZMYEVMXDQZR}

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	2026-07-04T14:54:00.205426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ecabb2956e6e20566b96609565c70cc45c5abbd20ff87744ed63b142e618353

Aliases

arxiv: math/0603499 · arxiv_version: math/0603499v1 · doi: 10.48550/arxiv.math/0603499 · pith_short_12: N3FLWKKW43RA · pith_short_16: N3FLWKKW43RAKZVZ · pith_short_8: N3FLWKKW

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/N3FLWKKW43RAKZVZMYEVMXDQZR \
  | 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: 6ecabb2956e6e20566b96609565c70cc45c5abbd20ff87744ed63b142e618353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4efe8fccb9a8359c214e38f01218c3b0c18d8a1a52366af465908de117e8e7d6",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-03-21T11:08:30Z",
    "title_canon_sha256": "13562e9dcb46c0696e470ac88c4cd97096000cbfc14d289126cd1317d29ee884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603499",
    "kind": "arxiv",
    "version": 1
  }
}