Pith Number

pith:E4EL3CB7

pith:2011:E4EL3CB7M5Z46KQKBYSAUZEWHH

not attested not anchored not stored refs pending

Riemann integration via primitives for a new proof to the change of variable theorem

Rodrigo L\'opez Pouso

arxiv:1105.5938 v1 · 2011-05-30 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4EL3CB7M5Z46KQKBYSAUZEWHH}

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	2026-05-18T04:21:01.261708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2708bd883f6773cf2a0a0e240a649639c74f3591b4b9c876ac5b9d8e6a8524fa

Aliases

arxiv: 1105.5938 · arxiv_version: 1105.5938v1 · doi: 10.48550/arxiv.1105.5938 · pith_short_12: E4EL3CB7M5Z4 · pith_short_16: E4EL3CB7M5Z46KQK · pith_short_8: E4EL3CB7

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/E4EL3CB7M5Z46KQKBYSAUZEWHH \
  | 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: 2708bd883f6773cf2a0a0e240a649639c74f3591b4b9c876ac5b9d8e6a8524fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ef50430f1fd102e057e2a8b663d33d6117b789c825ad4109fde58f9a11dbba0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-05-30T10:39:19Z",
    "title_canon_sha256": "75cb64f23bebb117b9da6f8fb1251705f2ac9062d95bb01b883ea70bfda79926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5938",
    "kind": "arxiv",
    "version": 1
  }
}