Pith Number

pith:QLDNZXWC

pith:2016:QLDNZXWCVG4KZLOR3YGZLCBT5P

not attested not anchored not stored refs pending

Wave breaking in a shallow water model

Lizheng Tao, Vera Mikyoung Hur

arxiv:1608.04681 v2 · 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{QLDNZXWCVG4KZLOR3YGZLCBT5P}

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	2026-05-18T01:04:02.276525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82c6dcdec2a9b8acadd1de0d958833ebf7f1c7de58ae19b613737dc12193fa81

Aliases

arxiv: 1608.04681 · arxiv_version: 1608.04681v2 · doi: 10.48550/arxiv.1608.04681 · pith_short_12: QLDNZXWCVG4K · pith_short_16: QLDNZXWCVG4KZLOR · pith_short_8: QLDNZXWC

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/QLDNZXWCVG4KZLOR3YGZLCBT5P \
  | 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: 82c6dcdec2a9b8acadd1de0d958833ebf7f1c7de58ae19b613737dc12193fa81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a4f64b43daf45e6473b0cf4a45d92e6a6a21a9bebad76c510fa23f26a9ffc04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-16T17:38:35Z",
    "title_canon_sha256": "790477d0a8ec122472257105ae0ce3e159af6676723dd228fdde05e18e42626f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04681",
    "kind": "arxiv",
    "version": 2
  }
}