Pith Number

pith:XR26WUFK

pith:2016:XR26WUFKVV4VEODGAOHFICLCKH

not attested not anchored not stored refs pending

Liouville correspondence between the Short-Pulse Hierarchy and the Sine-Gordon Hierarchy

Jing Kang, Xiaochuan Liu

arxiv:1601.08149 v1 · 2016-01-29 · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XR26WUFKVV4VEODGAOHFICLCKH}

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	2026-05-18T00:54:40.907144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc75eb50aaad79523866038e54096251c88b75f8e3960625d9ac0e0adf4cf0e6

Aliases

arxiv: 1601.08149 · arxiv_version: 1601.08149v1 · doi: 10.48550/arxiv.1601.08149 · pith_short_12: XR26WUFKVV4V · pith_short_16: XR26WUFKVV4VEODG · pith_short_8: XR26WUFK

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/XR26WUFKVV4VEODGAOHFICLCKH \
  | 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: bc75eb50aaad79523866038e54096251c88b75f8e3960625d9ac0e0adf4cf0e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8323a54eface7fbe8c44c0b55623a615908e709753972caae069ee2c7f396a04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2016-01-29T15:04:46Z",
    "title_canon_sha256": "15ddbfe2f9825796a7658dc21917c283f223a6af16e5354e59bc81f7aa587c1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.08149",
    "kind": "arxiv",
    "version": 1
  }
}