Pith Number

pith:VDFUS7DI

pith:2015:VDFUS7DIWYZBIPKY35BXEWYYLP

not attested not anchored not stored refs pending

Stability of the train of $N$ solitary waves for the two-component Camassa-Holm shallow water system

Xingxing Liu

arxiv:1509.08044 v1 · 2015-09-27 · 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{VDFUS7DIWYZBIPKY35BXEWYYLP}

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	2026-05-18T01:31:54.860163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8cb497c68b632143d58df43725b185be59ee4937a062fc3ccaebc8cd90afcb7

Aliases

arxiv: 1509.08044 · arxiv_version: 1509.08044v1 · doi: 10.48550/arxiv.1509.08044 · pith_short_12: VDFUS7DIWYZB · pith_short_16: VDFUS7DIWYZBIPKY · pith_short_8: VDFUS7DI

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/VDFUS7DIWYZBIPKY35BXEWYYLP \
  | 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: a8cb497c68b632143d58df43725b185be59ee4937a062fc3ccaebc8cd90afcb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "319dd442861542d4217d361d0165980cc1b50fa4ba961ee31ce5df7271c2b9a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-27T02:41:24Z",
    "title_canon_sha256": "6cfdf56d3734a30f237dfe4815c1098d0de13829b8d6259db97438472fe1d8b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08044",
    "kind": "arxiv",
    "version": 1
  }
}