Pith Number

pith:6ASCGTYL

pith:2013:6ASCGTYLY6JEF6ELTVAWVC5S7Q

not attested not anchored not stored refs pending

Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions

Akitaka Matsumura, Hideaki Sunagawa, Soichiro Katayama

arxiv:1309.6006 v2 · 2013-09-23 · 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{6ASCGTYLY6JEF6ELTVAWVC5S7Q}

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	2026-05-18T01:30:35.643017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f024234f0bc79242f88b9d416a8bb2fc335f855acd898532d2275158a9ee0357

Aliases

arxiv: 1309.6006 · arxiv_version: 1309.6006v2 · doi: 10.48550/arxiv.1309.6006 · pith_short_12: 6ASCGTYLY6JE · pith_short_16: 6ASCGTYLY6JEF6EL · pith_short_8: 6ASCGTYL

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/6ASCGTYLY6JEF6ELTVAWVC5S7Q \
  | 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: f024234f0bc79242f88b9d416a8bb2fc335f855acd898532d2275158a9ee0357

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0430d7f2bc1b24df31210561c3299445041e7d52ac683f6acb013f3374d5fe7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-23T23:28:26Z",
    "title_canon_sha256": "185ea70cd4ef4d24d1408b5eba75819fb8645b5e8a340041805099f25c929d1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6006",
    "kind": "arxiv",
    "version": 2
  }
}