Pith Number

pith:R5VT7MUZ

pith:2013:R5VT7MUZO44DCWSSOFNJ26ZSM3

not attested not anchored not stored refs pending

Kato's Local epsilon conjecture: $l \neq p$ case

Mahesh Kakde

arxiv:1301.2333 v2 · 2013-01-10 · 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{R5VT7MUZO44DCWSSOFNJ26ZSM3}

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	2026-05-18T03:34:47.842861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f6b3fb2997738315a52715a9d7b3266f6e365530e9fcccaa3047cd8fe425331

Aliases

arxiv: 1301.2333 · arxiv_version: 1301.2333v2 · doi: 10.48550/arxiv.1301.2333 · pith_short_12: R5VT7MUZO44D · pith_short_16: R5VT7MUZO44DCWSS · pith_short_8: R5VT7MUZ

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/R5VT7MUZO44DCWSSOFNJ26ZSM3 \
  | 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: 8f6b3fb2997738315a52715a9d7b3266f6e365530e9fcccaa3047cd8fe425331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17dd486d13f46f7775b376c27aa48c85ac4ef0dbb980513f4df887c6764fe1c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-10T21:12:10Z",
    "title_canon_sha256": "1bef757003c8dc9fa038b8f7dec3866ed891ed0004570f7f903b7a6d2fffd4c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2333",
    "kind": "arxiv",
    "version": 2
  }
}