Pith Number

pith:YURMGBVO

pith:2013:YURMGBVOISQY7A4LPDUHRE2JO4

not attested not anchored not stored refs pending

Numerical Solutions of Fredholm Integral Equations Using Bernstein Polynomials

Afroza Shirin, Md. Shafiqul Islam

arxiv:1309.6311 v1 · 2013-09-24 · cs.NA · 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{YURMGBVOISQY7A4LPDUHRE2JO4}

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	2026-05-18T03:12:21.594455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c522c306ae44a18f838b78e878934977315022f4b3ec78667fc7a2ddebe212f1

Aliases

arxiv: 1309.6311 · arxiv_version: 1309.6311v1 · doi: 10.48550/arxiv.1309.6311 · pith_short_12: YURMGBVOISQY · pith_short_16: YURMGBVOISQY7A4L · pith_short_8: YURMGBVO

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/YURMGBVOISQY7A4LPDUHRE2JO4 \
  | 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: c522c306ae44a18f838b78e878934977315022f4b3ec78667fc7a2ddebe212f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a9bc0f43a01fc420448f0cefcd37cae4ef123704930a1b8479a2db4564916cf",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2013-09-24T07:48:17Z",
    "title_canon_sha256": "77a8c330bf885434da91f37d0e96cf735e1c44bc636877f250b17fc3543f330c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6311",
    "kind": "arxiv",
    "version": 1
  }
}