pith. sign in
Pith Number

pith:UVUGQQJR

pith:2013:UVUGQQJR36ASJZSVDCLBJ5X3B7
not attested not anchored not stored refs pending

Numerical solutions of a class of second order boundary value problems on using Bernoulli Polynomials

Afroza Shirin, Md. Shafiqul Islam

arxiv:1309.6064 v2 · 2013-09-24 · math.NA · cs.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UVUGQQJR36ASJZSVDCLBJ5X3B7}

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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 2026-06-04T14:09:11.801062Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a568684131df8124e655189614f6fb0feccff84d28528f02ad7606b0cc80e65d

Aliases

arxiv: 1309.6064 · arxiv_version: 1309.6064v2 · doi: 10.48550/arxiv.1309.6064 · pith_short_12: UVUGQQJR36AS · pith_short_16: UVUGQQJR36ASJZSV · pith_short_8: UVUGQQJR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UVUGQQJR36ASJZSVDCLBJ5X3B7 \
  | 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: a568684131df8124e655189614f6fb0feccff84d28528f02ad7606b0cc80e65d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8108d40759b5d92e9d92b5184acf207466a5c3a28857e7f007ad561db8bb52df",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-09-24T07:11:16Z",
    "title_canon_sha256": "a6a3030ef60cf179d9386404488f82629d77acb4b82da3351e7354f6b8fda3d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6064",
    "kind": "arxiv",
    "version": 2
  }
}