Pith Number

pith:B3KW6YNM

pith:2010:B3KW6YNMC3G4UICATDQSYTRGN2

not attested not anchored not stored refs pending

The Bloch-Kato Conjecture and Galois Theory

Dikran Karagueuzian, Jan Minac, John Labute

arxiv:1012.5631 v4 · 2010-12-27 · math.NT · math.GR · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3KW6YNMC3G4UICATDQSYTRGN2}

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	2026-05-18T04:29:44.323155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ed56f61ac16cdca204098e12c4e266ea5f0576f64a8e3f273474f3279dcacb1

Aliases

arxiv: 1012.5631 · arxiv_version: 1012.5631v4 · doi: 10.48550/arxiv.1012.5631 · pith_short_12: B3KW6YNMC3G4 · pith_short_16: B3KW6YNMC3G4UICA · pith_short_8: B3KW6YNM

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/B3KW6YNMC3G4UICATDQSYTRGN2 \
  | 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: 0ed56f61ac16cdca204098e12c4e266ea5f0576f64a8e3f273474f3279dcacb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bce515998d8540f6cd5c5686d9f6dfdc3f6b1e02f24873077265d0901a26f8c4",
    "cross_cats_sorted": [
      "math.GR",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-27T15:48:55Z",
    "title_canon_sha256": "d2a4a2cfa3eac77b700983fe7343642795122e603f1846717be55a89d5e38048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5631",
    "kind": "arxiv",
    "version": 4
  }
}