Pith Number

pith:LGHHH7OB

pith:2011:LGHHH7OBJA46LFLLXHEDXWVRTW

not attested not anchored not stored refs pending

On the wave-breaking phenomena and global existence for the generalized periodic Camassa-Holm equation

Guilong Gui, Min Zhu, Yue Liu

arxiv:1107.3191 v2 · 2011-07-16 · 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{LGHHH7OBJA46LFLLXHEDXWVRTW}

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	2026-05-18T04:17:14.658302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

598e73fdc14839e5956bb9c83bdab19da6b6bf2160243da4454d85cf0c1fc5cc

Aliases

arxiv: 1107.3191 · arxiv_version: 1107.3191v2 · doi: 10.48550/arxiv.1107.3191 · pith_short_12: LGHHH7OBJA46 · pith_short_16: LGHHH7OBJA46LFLL · pith_short_8: LGHHH7OB

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/LGHHH7OBJA46LFLLXHEDXWVRTW \
  | 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: 598e73fdc14839e5956bb9c83bdab19da6b6bf2160243da4454d85cf0c1fc5cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7ed923793939c780b100a8536841f737dc743615291005e83e5bec6cafff20b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-16T02:00:05Z",
    "title_canon_sha256": "38b3146f069f0cd8c3b16bbaa252b4e436b76729cf5d56296f87c2e7a0377796"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3191",
    "kind": "arxiv",
    "version": 2
  }
}