Pith Number

pith:THNNQVOZ

pith:2011:THNNQVOZLSDPBYPNTVWHJKS7ZA

not attested not anchored not stored refs pending

Efficient determination of the critical parameters and the statistical quantities for Klein-Gordon and sine-Gordon equations with a singular potential using generalized polynomial chaos methods

Debananda Chakraborty, Jae-Hun Jung

arxiv:1108.4720 v1 · 2011-08-23 · math.NA · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THNNQVOZLSDPBYPNTVWHJKS7ZA}

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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	2026-05-18T04:14:46.903984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99dad855d95c86f0e1ed9d6c74aa5fc8205a3be6b941ede2e120e3b133220abc

Aliases

arxiv: 1108.4720 · arxiv_version: 1108.4720v1 · doi: 10.48550/arxiv.1108.4720 · pith_short_12: THNNQVOZLSDP · pith_short_16: THNNQVOZLSDPBYPN · pith_short_8: THNNQVOZ

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/THNNQVOZLSDPBYPNTVWHJKS7ZA \
  | 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: 99dad855d95c86f0e1ed9d6c74aa5fc8205a3be6b941ede2e120e3b133220abc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1eb9466b863329df7ad38069dd5217f46a887207d97a3ca23c806ab9dec7076",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-08-23T23:47:43Z",
    "title_canon_sha256": "83b8eee1528e70c21ebb01b05f9e6d9bfb460d44f8dfc4ccc56a906bbc3aad10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4720",
    "kind": "arxiv",
    "version": 1
  }
}