Pith Number

pith:6IRFED3R

pith:2015:6IRFED3RG4ZV3EKTPX47XRJBAK

not attested not anchored not stored refs pending

The Cauchy Principal Value and the finite part integral as values of absolutely convergent integrals

Eric A. Galapon

arxiv:1512.01323 v3 · 2015-12-04 · math-ph · 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{6IRFED3RG4ZV3EKTPX47XRJBAK}

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	2026-05-18T01:15:57.846783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f222520f7137335d91537df9fbc52102bd39aade13e1332339be782244505fb8

Aliases

arxiv: 1512.01323 · arxiv_version: 1512.01323v3 · doi: 10.48550/arxiv.1512.01323 · pith_short_12: 6IRFED3RG4ZV · pith_short_16: 6IRFED3RG4ZV3EKT · pith_short_8: 6IRFED3R

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/6IRFED3RG4ZV3EKTPX47XRJBAK \
  | 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: f222520f7137335d91537df9fbc52102bd39aade13e1332339be782244505fb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c219428ab0f3587941dd188c9be0a8b9c225819d180cff92bf7a60b87f73cc22",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-04T06:24:29Z",
    "title_canon_sha256": "6bf7eef66346aa00ba9f2ae21793d241a846cbe85d01424890ad45f0918386a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01323",
    "kind": "arxiv",
    "version": 3
  }
}