Pith Number

pith:FQCOTSKB

pith:2018:FQCOTSKB2OG6A57IBQL337WQ5C

not attested not anchored not stored refs pending

Remarks on Kato's Euler systems for elliptic curves with additive reduction

Chan-Ho Kim, Kentaro Nakamura

arxiv:1808.07726 v2 · 2018-08-23 · 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{FQCOTSKB2OG6A57IBQL337WQ5C}

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	2026-05-17T23:48:40.236380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c04e9c941d38de077e80c17bdfed0e88647a9fec5249f82b7d52473ded0dee6

Aliases

arxiv: 1808.07726 · arxiv_version: 1808.07726v2 · doi: 10.48550/arxiv.1808.07726 · pith_short_12: FQCOTSKB2OG6 · pith_short_16: FQCOTSKB2OG6A57I · pith_short_8: FQCOTSKB

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/FQCOTSKB2OG6A57IBQL337WQ5C \
  | 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: 2c04e9c941d38de077e80c17bdfed0e88647a9fec5249f82b7d52473ded0dee6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8994a74c4a50029d0ef290b85414d7f9944e63436d24e39fcb579639bdfe3a01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-23T12:48:30Z",
    "title_canon_sha256": "9968bb408e4dd2a321cc0845d80c8047fabff437310f62eabc964f34b1ebf7fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07726",
    "kind": "arxiv",
    "version": 2
  }
}