Pith Number

pith:MEGHBOB6

pith:2016:MEGHBOB6KXIE6JCX6BA5HPTVYA

not attested not anchored not stored refs pending

Formula of Volume of Revolution with Integration by Parts and Extension

Jingwei Liu, Yi Liu

arxiv:1609.04771 v1 · 2016-09-04 · math.CA · cs.CG · cs.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MEGHBOB6KXIE6JCX6BA5HPTVYA}

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	2026-05-17T23:52:56.327200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

610c70b83e55d04f2457f041d3be75c012ba195f460f2447c5a01585e77bbd57

Aliases

arxiv: 1609.04771 · arxiv_version: 1609.04771v1 · doi: 10.48550/arxiv.1609.04771 · pith_short_12: MEGHBOB6KXIE · pith_short_16: MEGHBOB6KXIE6JCX · pith_short_8: MEGHBOB6

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/MEGHBOB6KXIE6JCX6BA5HPTVYA \
  | 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: 610c70b83e55d04f2457f041d3be75c012ba195f460f2447c5a01585e77bbd57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49601786aabbc08dc8f949c190e24d0f6bfb291efa0fe511b753cb8e9812d233",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-04T06:13:26Z",
    "title_canon_sha256": "66c9e1de7c4e9802a4f6255833a5b2cb7548b4bbb760ebbe76e282a0b880aa4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04771",
    "kind": "arxiv",
    "version": 1
  }
}