Pith Number

pith:T5FOWZXL

pith:2012:T5FOWZXLXOWQSB6P4HB7M5PLLG

not attested not anchored not stored refs pending

A note on Fontaine theory using different Lubin-Tate groups

Bruno R. Chiarellotto, Francesco Esposito

arxiv:1212.4735 v2 · 2012-12-19 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5FOWZXLXOWQSB6P4HB7M5PLLG}

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	2026-05-18T03:37:19.858746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f4aeb66ebbbad0907cfe1c3f675eb59804b268511ab48215330123b2b7187d1

Aliases

arxiv: 1212.4735 · arxiv_version: 1212.4735v2 · doi: 10.48550/arxiv.1212.4735 · pith_short_12: T5FOWZXLXOWQ · pith_short_16: T5FOWZXLXOWQSB6P · pith_short_8: T5FOWZXL

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/T5FOWZXLXOWQSB6P4HB7M5PLLG \
  | 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: 9f4aeb66ebbbad0907cfe1c3f675eb59804b268511ab48215330123b2b7187d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "720b8894c1e47926840a1b0ad218edae08bb12d11929a1aa5f348c1c1a2d0d0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-19T16:54:41Z",
    "title_canon_sha256": "4b60bd0a8a880d2e572f1a1d9e7b98d3995bedb08eeb3e64194e6b57a4d3531b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4735",
    "kind": "arxiv",
    "version": 2
  }
}