Pith Number

pith:EBDKMQ54

pith:2011:EBDKMQ54QI5F6LBE6EVNUF3JHV

not attested not anchored not stored refs pending

On deformation rings of residually reducible Galois representations and R=T theorems

Krzysztof Klosin, Tobias Berger

arxiv:1103.5100 v1 · 2011-03-26 · math.NT · math.AG · 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{EBDKMQ54QI5F6LBE6EVNUF3JHV}

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	2026-05-18T04:25:38.643363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2046a643bc823a5f2c24f12ada17693d504e1c34370400b394f667224e4ca486

Aliases

arxiv: 1103.5100 · arxiv_version: 1103.5100v1 · doi: 10.48550/arxiv.1103.5100 · pith_short_12: EBDKMQ54QI5F · pith_short_16: EBDKMQ54QI5F6LBE · pith_short_8: EBDKMQ54

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/EBDKMQ54QI5F6LBE6EVNUF3JHV \
  | 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: 2046a643bc823a5f2c24f12ada17693d504e1c34370400b394f667224e4ca486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c00ae2cafda3e411b8b8d7029cf040f3b7c63e8e9f246fc8634917997bf867ac",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-26T02:50:18Z",
    "title_canon_sha256": "f0c43a5aaaa7db20eefc38f667cdc0a743f8635587a26de58583e8e6ab9647d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5100",
    "kind": "arxiv",
    "version": 1
  }
}