Pith Number

pith:VK6KINDK

pith:2016:VK6KINDKXO5NTLUAIDTG3FJMGM

not attested not anchored not stored refs pending

Multiple standing waves for the nonlinear Helmholtz equation concentrating in the high frequency limit

Gilles Ev\'equoz

arxiv:1608.04534 v1 · 2016-08-16 · 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{VK6KINDKXO5NTLUAIDTG3FJMGM}

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	2026-05-18T01:08:36.951401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aabca4346abbbad9ae8040e66d952c3338a6002ff2b161b09c1ad050c8b3df6e

Aliases

arxiv: 1608.04534 · arxiv_version: 1608.04534v1 · doi: 10.48550/arxiv.1608.04534 · pith_short_12: VK6KINDKXO5N · pith_short_16: VK6KINDKXO5NTLUA · pith_short_8: VK6KINDK

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/VK6KINDKXO5NTLUAIDTG3FJMGM \
  | 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: aabca4346abbbad9ae8040e66d952c3338a6002ff2b161b09c1ad050c8b3df6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbb81b5b46879dd30f5bd359b37899924da38a79b2a9906a4b28c52ba6bf6640",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-16T09:59:27Z",
    "title_canon_sha256": "f0ed9c619ecc59eb00b75ce86e6667a0f475456dc223f8f2d639afc15929f6fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04534",
    "kind": "arxiv",
    "version": 1
  }
}