Pith Number

pith:3HOXZNFP

pith:2017:3HOXZNFPCRD27JYNMZDMSWTQT7

not attested not anchored not stored refs pending

First and second $K$-groups of an elliptic curve over a global field of positive characteristic

Satoshi Kondo, Seidai Yasuda

arxiv:1711.05749 v1 · 2017-11-15 · 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{3HOXZNFPCRD27JYNMZDMSWTQT7}

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	2026-05-18T00:30:27.418551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9dd7cb4af1447afa70d6646c95a709ffef8af9f3678db652f2fa7bfe95b678d

Aliases

arxiv: 1711.05749 · arxiv_version: 1711.05749v1 · doi: 10.48550/arxiv.1711.05749 · pith_short_12: 3HOXZNFPCRD2 · pith_short_16: 3HOXZNFPCRD27JYN · pith_short_8: 3HOXZNFP

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/3HOXZNFPCRD27JYNMZDMSWTQT7 \
  | 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: d9dd7cb4af1447afa70d6646c95a709ffef8af9f3678db652f2fa7bfe95b678d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "933f5d814d94e7bba54c2e6dc06122ed061b13167c78e8172b3cc66481c71dec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2017-11-15T19:00:14Z",
    "title_canon_sha256": "b0d0b49d952e20ea52f4d7b84b797597576121d0e99404704afee7d39cb85422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05749",
    "kind": "arxiv",
    "version": 1
  }
}