Pith Number

pith:ZLZHYQXX

pith:2016:ZLZHYQXXBYWLJLDQTCTWYY26SM

not attested not anchored not stored refs pending

On the formation of shock for quasilinear wave equations by pulse with weak intensity

Shuang Miao

arxiv:1610.04147 v1 · 2016-10-13 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLZHYQXXBYWLJLDQTCTWYY26SM}

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	2026-05-18T01:02:21.765433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caf27c42f70e2cb4ac7098a76c635e931417a2944b6f55c0c8458e9b215ea03e

Aliases

arxiv: 1610.04147 · arxiv_version: 1610.04147v1 · doi: 10.48550/arxiv.1610.04147 · pith_short_12: ZLZHYQXXBYWL · pith_short_16: ZLZHYQXXBYWLJLDQ · pith_short_8: ZLZHYQXX

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/ZLZHYQXXBYWLJLDQTCTWYY26SM \
  | 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: caf27c42f70e2cb4ac7098a76c635e931417a2944b6f55c0c8458e9b215ea03e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "336ae50f4af3fb41c6ae12a98bc9f3e00d3a270abdd12881111c7e8bc64c426d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-13T16:01:08Z",
    "title_canon_sha256": "8a998857b0327c743a4e545c72031380db18852158b8189301ea658a541345da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04147",
    "kind": "arxiv",
    "version": 1
  }
}