Pith Number

pith:3XI7OGNC

pith:2016:3XI7OGNCXIIACKCGE52WTVSRFE

not attested not anchored not stored refs pending

Remarks on an elliptic problem arising in weighted energy estimates for wave equations with space-dependent damping term in an exterior domain

Motohiro Sobajima, Yuta Wakasugi

arxiv:1609.01063 v2 · 2016-09-05 · 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{3XI7OGNCXIIACKCGE52WTVSRFE}

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	2026-05-18T00:57:04.086466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd1f719a2ba10012846277569d651291086a8de39927b03838135ceddfab00d

Aliases

arxiv: 1609.01063 · arxiv_version: 1609.01063v2 · doi: 10.48550/arxiv.1609.01063 · pith_short_12: 3XI7OGNCXIIA · pith_short_16: 3XI7OGNCXIIACKCG · pith_short_8: 3XI7OGNC

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/3XI7OGNCXIIACKCGE52WTVSRFE \
  | 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: ddd1f719a2ba10012846277569d651291086a8de39927b03838135ceddfab00d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5051507d9634641feacf7d61ccbc8f2557bff53a47b425726da0f640ae58ca70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-05T08:47:58Z",
    "title_canon_sha256": "eebff62156f66801805c6fc292d058a775986a63637e40dc5da2113a83572317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01063",
    "kind": "arxiv",
    "version": 2
  }
}