Pith Number

pith:PQ76UHXR

pith:2015:PQ76UHXRDEUKUD3RGBRVCHRQDF

not attested not anchored not stored refs pending

Oscillation Preserving Galerkin Methods for Fredholm Integral Equations of the Second Kind with Oscillatory Kernels

Yinkun Wang, Yuesheng Xu

arxiv:1507.01156 v2 · 2015-07-05 · 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{PQ76UHXRDEUKUD3RGBRVCHRQDF}

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	2026-05-18T01:25:11.629988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c3fea1ef11928aa0f713063511e301970ab86de7b0eab147a9a7a64ad68d31d

Aliases

arxiv: 1507.01156 · arxiv_version: 1507.01156v2 · doi: 10.48550/arxiv.1507.01156 · pith_short_12: PQ76UHXRDEUK · pith_short_16: PQ76UHXRDEUKUD3R · pith_short_8: PQ76UHXR

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/PQ76UHXRDEUKUD3RGBRVCHRQDF \
  | 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: 7c3fea1ef11928aa0f713063511e301970ab86de7b0eab147a9a7a64ad68d31d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4b7d56f86dac959756be13bb290a4cb5f9fc9ddd06dd4fbf614e5c2a97f9b90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-07-05T00:51:24Z",
    "title_canon_sha256": "89ddb89c4579d597870825f1518c984adbbccedf89ca82fdb657e774acf2486c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01156",
    "kind": "arxiv",
    "version": 2
  }
}