Pith Number

pith:XLRTANBD

pith:2013:XLRTANBDEKDAUKF4ZPDMSZRQFC

not attested not anchored not stored refs pending

Weighted energy decay for magnetic Klein-Gordon equation

Alexander Komech, Elena Kopylova

arxiv:1309.1759 v4 · 2013-09-06 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLRTANBDEKDAUKF4ZPDMSZRQFC}

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	2026-05-18T03:10:36.394274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bae330342322860a28bccbc6c9663028ab170005cbedb91da400c26d2607cc90

Aliases

arxiv: 1309.1759 · arxiv_version: 1309.1759v4 · doi: 10.48550/arxiv.1309.1759 · pith_short_12: XLRTANBDEKDA · pith_short_16: XLRTANBDEKDAUKF4 · pith_short_8: XLRTANBD

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/XLRTANBDEKDAUKF4ZPDMSZRQFC \
  | 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: bae330342322860a28bccbc6c9663028ab170005cbedb91da400c26d2607cc90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5982257ff29d382d09e38428e9735c6dc585f8f497904c7a40b80c725370146e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-06T15:25:49Z",
    "title_canon_sha256": "c358dfad79797d32c6856d3cf66fad32f398cc5786286914e50c786f5851635c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1759",
    "kind": "arxiv",
    "version": 4
  }
}