Pith Number

pith:PBZTGNHG

pith:2015:PBZTGNHG6C6SNU6VGU45A3UL6G

not attested not anchored not stored refs pending

Two integrable differential-difference equations derived from NLS-type equation

Guo-Fu Yu, Yik-Man Chiang, Zong-Wei Xu

arxiv:1503.09073 v3 · 2015-03-31 · 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{PBZTGNHG6C6SNU6VGU45A3UL6G}

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	2026-05-18T02:19:27.425208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78733334e6f0bd26d3d53539d06e8bf19d8964b1f80bad4f28d6b8646198864f

Aliases

arxiv: 1503.09073 · arxiv_version: 1503.09073v3 · doi: 10.48550/arxiv.1503.09073 · pith_short_12: PBZTGNHG6C6S · pith_short_16: PBZTGNHG6C6SNU6V · pith_short_8: PBZTGNHG

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/PBZTGNHG6C6SNU6VGU45A3UL6G \
  | 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: 78733334e6f0bd26d3d53539d06e8bf19d8964b1f80bad4f28d6b8646198864f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3306b2d8eedaa63cb3932966f77bd7a0e640cd398fd8d8377137b48af6fee839",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2015-03-31T14:57:54Z",
    "title_canon_sha256": "ebdf219c1b62bb57f9024a9eab991e79739cae88c08db0603ea889b92e29b925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.09073",
    "kind": "arxiv",
    "version": 3
  }
}