Pith Number

pith:KPJ7T6YQ

pith:2011:KPJ7T6YQSYNJLZLZK62W6WD6L4

not attested not anchored not stored refs pending

K_1 of certain Iwasawa algebras, after Kakde

Otmar Venjakob, Peter Schneider

arxiv:1110.6362 v1 · 2011-10-28 · 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{KPJ7T6YQSYNJLZLZK62W6WD6L4}

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	2026-05-18T04:09:56.925931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53d3f9fb10961a95e57957b56f587e5f236adea0b4b38b4c3208a602d8a9d0f4

Aliases

arxiv: 1110.6362 · arxiv_version: 1110.6362v1 · doi: 10.48550/arxiv.1110.6362 · pith_short_12: KPJ7T6YQSYNJ · pith_short_16: KPJ7T6YQSYNJLZLZ · pith_short_8: KPJ7T6YQ

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/KPJ7T6YQSYNJLZLZK62W6WD6L4 \
  | 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: 53d3f9fb10961a95e57957b56f587e5f236adea0b4b38b4c3208a602d8a9d0f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cf7a5ac1c81986f1537dc822faecf960092c0985720994ec6b80d5466fa0f7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-10-28T15:13:28Z",
    "title_canon_sha256": "8822953b1b7435e6f20ff73105bd3b841e29c1565ca2cd715b3b3dc390aae867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6362",
    "kind": "arxiv",
    "version": 1
  }
}