Pith Number

pith:4X5IDQDI

pith:2015:4X5IDQDICMJQ5G3YFBX5QAGZXD

not attested not anchored not stored refs pending

Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials

Samad Ahdiaghdam, Sedaghat Shahmorad

arxiv:1508.01873 v1 · 2015-08-08 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4X5IDQDICMJQ5G3YFBX5QAGZXD}

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	2026-05-18T01:35:37.691994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5fa81c06813130e9b78286fd800d9b8d9c15001cb6945b31dfaadf0e52bc4ce

Aliases

arxiv: 1508.01873 · arxiv_version: 1508.01873v1 · doi: 10.48550/arxiv.1508.01873 · pith_short_12: 4X5IDQDICMJQ · pith_short_16: 4X5IDQDICMJQ5G3Y · pith_short_8: 4X5IDQDI

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/4X5IDQDICMJQ5G3YFBX5QAGZXD \
  | 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: e5fa81c06813130e9b78286fd800d9b8d9c15001cb6945b31dfaadf0e52bc4ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71b3b8bcef2afe351e21977f0eaea4c072066d426d2290b19b3e053dfc319eec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-08-08T08:45:39Z",
    "title_canon_sha256": "979044b8f7103ad8cdd05c4690cfdaba9983100aceb4a91fe90fd1c33d2bd537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01873",
    "kind": "arxiv",
    "version": 1
  }
}