Pith Number

pith:VX74MSUR

pith:2012:VX74MSURRHZYP52ERH3TZVVJX3

not attested not anchored not stored refs pending

On Kato's local epsilon-isomorphism Conjecture for rank one Iwasawa modules

Otmar Venjakob

arxiv:1204.4269 v2 · 2012-04-19 · 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{VX74MSURRHZYP52ERH3TZVVJX3}

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	2026-05-18T01:22:26.695486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adffc64a9189f387f74489f73cd6a9befa180233eb03fbd6e0568f74c1657c21

Aliases

arxiv: 1204.4269 · arxiv_version: 1204.4269v2 · doi: 10.48550/arxiv.1204.4269 · pith_short_12: VX74MSURRHZY · pith_short_16: VX74MSURRHZYP52E · pith_short_8: VX74MSUR

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/VX74MSURRHZYP52ERH3TZVVJX3 \
  | 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: adffc64a9189f387f74489f73cd6a9befa180233eb03fbd6e0568f74c1657c21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c654a1772ee9adc3043f26abd634a6dd36c0134b61956e98e4f064618a50804",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-19T07:47:35Z",
    "title_canon_sha256": "02394198c112d8c4095fc234b70023b3defaebecf4466fc1dc78544915029639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4269",
    "kind": "arxiv",
    "version": 2
  }
}