Pith Number

pith:C3LMFPBK

pith:2018:C3LMFPBKZQ36IEXRLIOHTPBM7Q

not attested not anchored not stored refs pending

Extension and Application of Deleting Items and Disturbing Mesh Theorem of Riemann Integral

Jingwei Liu

arxiv:1809.03163 v1 · 2018-09-10 · math.PR · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3LMFPBKZQ36IEXRLIOHTPBM7Q}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:52:52.285924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16d6c2bc2acc37e412f15a1c79bc2cfc0d914f4587f3fa03383fd3300958183b

Aliases

arxiv: 1809.03163 · arxiv_version: 1809.03163v1 · doi: 10.48550/arxiv.1809.03163 · pith_short_12: C3LMFPBKZQ36 · pith_short_16: C3LMFPBKZQ36IEXR · pith_short_8: C3LMFPBK

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/C3LMFPBKZQ36IEXRLIOHTPBM7Q \
  | 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: 16d6c2bc2acc37e412f15a1c79bc2cfc0d914f4587f3fa03383fd3300958183b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cacd3beaf57977478c787b09791ee920305f6a64c67a006938224b46c16f8155",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-10T07:42:20Z",
    "title_canon_sha256": "416fb5e3c470c7262ab11cce61b72561531759740a3b4beaa85639e6f36a454a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03163",
    "kind": "arxiv",
    "version": 1
  }
}