Pith Number

pith:ZPDFZAIR

pith:2014:ZPDFZAIREA26HSGEBXASJGE7DT

not attested not anchored not stored refs pending

Generic smoothness for $G$-valued potentially semi-stable deformation rings

Rebecca Bellovin

arxiv:1403.1411 v2 · 2014-03-06 · 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{ZPDFZAIREA26HSGEBXASJGE7DT}

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	2026-05-18T01:19:22.421727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc65c81112035e3c8c40dc124989f1cde218a1bd0823d2ced41ad7e9b8b1d41

Aliases

arxiv: 1403.1411 · arxiv_version: 1403.1411v2 · doi: 10.48550/arxiv.1403.1411 · pith_short_12: ZPDFZAIREA26 · pith_short_16: ZPDFZAIREA26HSGE · pith_short_8: ZPDFZAIR

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/ZPDFZAIREA26HSGEBXASJGE7DT \
  | 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: cbc65c81112035e3c8c40dc124989f1cde218a1bd0823d2ced41ad7e9b8b1d41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d65326017ee2eecd3daad460be654e6710379af5fdbbb0c4ebda238d19464cf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-06T11:31:50Z",
    "title_canon_sha256": "af441c48c19ccddc725dcd65ce0a6847a7b2ae14838bd2cda0ce6de71d14a351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1411",
    "kind": "arxiv",
    "version": 2
  }
}