Pith Number

pith:HCGMTB64

pith:2023:HCGMTB64KMDSBB636CU5S6BXRV

not attested not anchored not stored refs pending

A Fundamental Criteria to Establish General Formulas of Integrals

Ahmad Qazza, Emad Kuffi, Mohammad Abu-Ghuwaleh, Rania Saadeh

arxiv:2305.08968 v1 · 2023-05-15 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCGMTB64KMDSBB636CU5S6BXRV}

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	2026-07-05T06:10:41.948541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

388cc987dc53072087dbf0a9d978378d68d3c512e73ddd45b8d25b7d82c2fdb3

Aliases

arxiv: 2305.08968 · arxiv_version: 2305.08968v1 · doi: 10.48550/arxiv.2305.08968 · pith_short_12: HCGMTB64KMDS · pith_short_16: HCGMTB64KMDSBB63 · pith_short_8: HCGMTB64

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/HCGMTB64KMDSBB636CU5S6BXRV \
  | 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: 388cc987dc53072087dbf0a9d978378d68d3c512e73ddd45b8d25b7d82c2fdb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bf89c4f0990d9813b44b314e664ed13defaddd6c9c11b8ae42a6ca12a82a29e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2023-05-15T19:15:17Z",
    "title_canon_sha256": "d1063bcf75a12e4062ad2e3a212d078bca47773910e567377e296d04e9ac10ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.08968",
    "kind": "arxiv",
    "version": 1
  }
}