Pith Number

pith:CHRYXRVW

pith:2013:CHRYXRVWVWMCPCIFOGLNTUXQPX

not attested not anchored not stored refs pending

Lecture notes about a simpler approach to Riemann integration

Michael Cwikel

arxiv:1311.6021 v1 · 2013-11-23 · 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{CHRYXRVWVWMCPCIFOGLNTUXQPX}

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	2026-05-18T03:06:20.836490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11e38bc6b6ad982789057196d9d2f07dfaa203dd5bf8f2959a05fcd056b70ee3

Aliases

arxiv: 1311.6021 · arxiv_version: 1311.6021v1 · doi: 10.48550/arxiv.1311.6021 · pith_short_12: CHRYXRVWVWMC · pith_short_16: CHRYXRVWVWMCPCIF · pith_short_8: CHRYXRVW

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/CHRYXRVWVWMCPCIFOGLNTUXQPX \
  | 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: 11e38bc6b6ad982789057196d9d2f07dfaa203dd5bf8f2959a05fcd056b70ee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb6307023db178422ee75ab77b568c2a18bf5f59dcf9ebcb0fb1fe13330d0f50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-11-23T16:55:26Z",
    "title_canon_sha256": "d5c87555b2cd77b7d614c5dd7ebd43eb1ac6d8df8abce74148b5bd1c873fa26d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6021",
    "kind": "arxiv",
    "version": 1
  }
}