Pith Number

pith:UA2OEKJL

pith:2010:UA2OEKJLFJV5Y7EHE3QWTP5V2W

not attested not anchored not stored refs pending

On long-time decay for modified Klein-Gordon equation

Elena Kopylova

arxiv:1009.2649 v2 · 2010-09-14 · math-ph · 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{UA2OEKJLFJV5Y7EHE3QWTP5V2W}

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	2026-05-18T04:39:38.581813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a034e2292b2a6bdc7c8726e169bfb5d58167d3adc2c1b4aa8c678822a3ad5196

Aliases

arxiv: 1009.2649 · arxiv_version: 1009.2649v2 · doi: 10.48550/arxiv.1009.2649 · pith_short_12: UA2OEKJLFJV5 · pith_short_16: UA2OEKJLFJV5Y7EH · pith_short_8: UA2OEKJL

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/UA2OEKJLFJV5Y7EHE3QWTP5V2W \
  | 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: a034e2292b2a6bdc7c8726e169bfb5d58167d3adc2c1b4aa8c678822a3ad5196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b30a725fdb682456930c6b79c3397271269498d17f6139dc6b7f6509654621de",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-14T13:12:52Z",
    "title_canon_sha256": "76f7cbd1ca30ab688f806167055b870476283ddb58a033d8d69bad4e225a1dd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2649",
    "kind": "arxiv",
    "version": 2
  }
}