Pith Number

pith:OPEPXWN2

pith:2012:OPEPXWN2S6TYL2G44EHSF7BNT2

not attested not anchored not stored refs pending

Explicit Representations of Green's Function for Linear Fractional Differential Operator with Variable Coefficients

Hyong-Chol O, Myong-Ha Kim

arxiv:1208.1909 v4 · 2012-08-09 · math-ph · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPEPXWN2S6TYL2G44EHSF7BNT2}

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	2026-05-18T03:14:17.555172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73c8fbd9ba97a785e8dce10f22fc2d9eb398035f18c21982690562148d420ed3

Aliases

arxiv: 1208.1909 · arxiv_version: 1208.1909v4 · doi: 10.48550/arxiv.1208.1909 · pith_short_12: OPEPXWN2S6TY · pith_short_16: OPEPXWN2S6TYL2G4 · pith_short_8: OPEPXWN2

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/OPEPXWN2S6TYL2G44EHSF7BNT2 \
  | 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: 73c8fbd9ba97a785e8dce10f22fc2d9eb398035f18c21982690562148d420ed3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b2dfb6f17534c5525d3bad635b3258f763e3e047e99bdde5f4d3f724cca43fc",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-09T13:48:02Z",
    "title_canon_sha256": "1ab614c8f3de22a18edfe1613a2bb6ab507ed1d4c114d60e34640de2f7e9de0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1909",
    "kind": "arxiv",
    "version": 4
  }
}