Pith Number

pith:ZDQENU2I

pith:2008:ZDQENU2IC7EG7EN53JK7SIZAE4

not attested not anchored not stored refs pending

On Dispersive Decay for Discrete 3D Schr\"odinger and Klein-Gordon Equations

E. Kopylova

arxiv:0812.0468 v2 · 2008-12-02 · 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{ZDQENU2IC7EG7EN53JK7SIZAE4}

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	2026-05-18T04:33:27.412272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8e046d34817c86f91bdda55f92320272516cbd3ffca372e9c1fab988536e3c8

Aliases

arxiv: 0812.0468 · arxiv_version: 0812.0468v2 · doi: 10.48550/arxiv.0812.0468 · pith_short_12: ZDQENU2IC7EG · pith_short_16: ZDQENU2IC7EG7EN5 · pith_short_8: ZDQENU2I

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/ZDQENU2IC7EG7EN53JK7SIZAE4 \
  | 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: c8e046d34817c86f91bdda55f92320272516cbd3ffca372e9c1fab988536e3c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3b63096b3ff700a907d14d0288cd30600f4b7391d2bce0bf253865c24d518e8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-12-02T10:53:34Z",
    "title_canon_sha256": "0aad69fb99c004f418c9aa4ba99cd77d1fde0ce2e7957a0ba691385091e01f30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0468",
    "kind": "arxiv",
    "version": 2
  }
}