Pith Number

pith:BCKETJ4Z

pith:2019:BCKETJ4ZANWQHEH3MHBLT4GTAV

not attested not anchored not stored refs pending

The existence of the solution of the wave equation on graphs

Yong Lin, Yuanyuan Xie

arxiv:1908.02137 v2 · 2019-08-06 · 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{BCKETJ4ZANWQHEH3MHBLT4GTAV}

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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.

Cited by

1 paper in Pith

Nonexistence results for the semilinear wave equation on graphs

Receipt and verification

First computed	2026-07-05T03:09:42.263407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

089449a799036d0390fb61c2b9f0d3056e5eb8e9d7c42f65fd7dfb974d2d9cb5

Aliases

arxiv: 1908.02137 · arxiv_version: 1908.02137v2 · doi: 10.48550/arxiv.1908.02137 · pith_short_12: BCKETJ4ZANWQ · pith_short_16: BCKETJ4ZANWQHEH3 · pith_short_8: BCKETJ4Z

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/BCKETJ4ZANWQHEH3MHBLT4GTAV \
  | 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: 089449a799036d0390fb61c2b9f0d3056e5eb8e9d7c42f65fd7dfb974d2d9cb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c47b46b693965b81a8b84194e8556669731a339e79385351a328384fdfea33f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-06T13:29:10Z",
    "title_canon_sha256": "577b1277f0499c239bbfecd97b83c1a20be098482ed3173cf4298b842c1e80f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02137",
    "kind": "arxiv",
    "version": 2
  }
}