Pith Number

pith:JABD6AQZ

pith:2014:JABD6AQZ5YP5PFEJ66KKVNN5OA

not attested not anchored not stored refs pending

On the formation of shocks for quasilinear wave equations

Pin Yu, Shuang Miao

arxiv:1412.3058 v4 · 2014-12-09 · 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{JABD6AQZ5YP5PFEJ66KKVNN5OA}

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	2026-05-18T01:02:31.228363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48023f0219ee1fd79489f794aab5bd701ab6f65810394c8d161886405a41b2ab

Aliases

arxiv: 1412.3058 · arxiv_version: 1412.3058v4 · doi: 10.48550/arxiv.1412.3058 · pith_short_12: JABD6AQZ5YP5 · pith_short_16: JABD6AQZ5YP5PFEJ · pith_short_8: JABD6AQZ

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/JABD6AQZ5YP5PFEJ66KKVNN5OA \
  | 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: 48023f0219ee1fd79489f794aab5bd701ab6f65810394c8d161886405a41b2ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab69ea6a7e4b29e64bb3c4c0909c84a36fbf599a26a8ebe9d718d5f814335fd7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-09T19:19:00Z",
    "title_canon_sha256": "3308adf3bd012c6b61a66ff8604ffe0d27f8d89bff52e858610376136313e8f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3058",
    "kind": "arxiv",
    "version": 4
  }
}