Pith Number

pith:Y4KJ46VY

pith:2011:Y4KJ46VYTLQ62N3YMOCO7LKIA2

not attested not anchored not stored refs pending

A simple counterexample related to the Lie-Trotter product formula

Claudia Canzi, Graziano Guerra

arxiv:1103.4997 v1 · 2011-03-25 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4KJ46VYTLQ62N3YMOCO7LKIA2}

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	2026-05-18T04:25:48.249248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7149e7ab89ae1ed37786384efad4806ba155e09cd438a2f046a9721ba8d5fd2

Aliases

arxiv: 1103.4997 · arxiv_version: 1103.4997v1 · doi: 10.48550/arxiv.1103.4997 · pith_short_12: Y4KJ46VYTLQ6 · pith_short_16: Y4KJ46VYTLQ62N3Y · pith_short_8: Y4KJ46VY

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/Y4KJ46VYTLQ62N3YMOCO7LKIA2 \
  | 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: c7149e7ab89ae1ed37786384efad4806ba155e09cd438a2f046a9721ba8d5fd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74b62354eb4276a5239cda495dc4e402306d2500bc598e5c2764866ab51c9f0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-25T15:34:39Z",
    "title_canon_sha256": "9da8828d1ca18c34d88f06e371afe18da06909c9f1e3542f68b41c7e9d9a3a4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4997",
    "kind": "arxiv",
    "version": 1
  }
}