Pith Number

pith:KOCFUB32

pith:2010:KOCFUB32U3BJAOX2CJ56ZDY2TJ

not attested not anchored not stored refs pending

The method of brackets. Part 2: examples and applications

Armin Straub, Ivan Gonzalez, Victor H. Moll

arxiv:1004.2062 v1 · 2010-04-12 · math-ph · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOCFUB32U3BJAOX2CJ56ZDY2TJ}

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.

Cited by

1 paper in Pith

Quadratic and quartic integrals using the method of brackets

Receipt and verification

First computed	2026-07-04T17:26:20.424455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53845a077aa6c2903afa127bec8f1a9a72120043da26beeda961abe8107a42f5

Aliases

arxiv: 1004.2062 · arxiv_version: 1004.2062v1 · doi: 10.48550/arxiv.1004.2062 · pith_short_12: KOCFUB32U3BJ · pith_short_16: KOCFUB32U3BJAOX2 · pith_short_8: KOCFUB32

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/KOCFUB32U3BJAOX2CJ56ZDY2TJ \
  | 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: 53845a077aa6c2903afa127bec8f1a9a72120043da26beeda961abe8107a42f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da1eb60bf1feea5fb2d6269b9b58186405166283ade230baa5d97e60b3c1fe8b",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-04-12T21:26:03Z",
    "title_canon_sha256": "7bc1ced90a3a49740f0e4796ba0eb358acb70e52f4d622a5cebd0e65628318d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2062",
    "kind": "arxiv",
    "version": 1
  }
}