Pith Number

pith:TNKPUGNO

pith:2017:TNKPUGNO6ZHJKGGKTZVGMDEZFQ

not attested not anchored not stored refs pending

Deleting Items and Disturbing Mesh Theorems for Riemann Definite Integral and Their Applications

Jingwei Liu, Yi Liu

arxiv:1702.04464 v1 · 2017-02-15 · math.PR · cs.NA · 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{TNKPUGNO6ZHJKGGKTZVGMDEZFQ}

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	2026-05-17T23:52:56.188894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b54fa19aef64e9518ca9e6a660c992c3531f6f223e28f81a3d72380b0fe2e61

Aliases

arxiv: 1702.04464 · arxiv_version: 1702.04464v1 · doi: 10.48550/arxiv.1702.04464 · pith_short_12: TNKPUGNO6ZHJ · pith_short_16: TNKPUGNO6ZHJKGGK · pith_short_8: TNKPUGNO

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/TNKPUGNO6ZHJKGGKTZVGMDEZFQ \
  | 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: 9b54fa19aef64e9518ca9e6a660c992c3531f6f223e28f81a3d72380b0fe2e61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58e8e97ca53bfb5ea9b8bf1c549e97f8d845e98d77685cb7282da24beed8ed4f",
    "cross_cats_sorted": [
      "cs.NA",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-02-15T05:14:54Z",
    "title_canon_sha256": "c23b25e1e374c2fdef6721765a4fca2d0bc1e5cab0adabaf5843e73ad5372068"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04464",
    "kind": "arxiv",
    "version": 1
  }
}