Pith Number

pith:RWLFNXE7

pith:2011:RWLFNXE7JZCZIEOBBAJS2U34QJ

not attested not anchored not stored refs pending

The dynamics of the NLS with the combined terms in five and higher dimensions

Changxing Miao, Guixiang Xu, Lifeng Zhao

arxiv:1112.4618 v2 · 2011-12-20 · 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{RWLFNXE7JZCZIEOBBAJS2U34QJ}

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	2026-05-18T01:20:31.807589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d9656dc9f4e459411c108132d537c8247d3c6ee3a350cc8b2991072c80813e0

Aliases

arxiv: 1112.4618 · arxiv_version: 1112.4618v2 · doi: 10.48550/arxiv.1112.4618 · pith_short_12: RWLFNXE7JZCZ · pith_short_16: RWLFNXE7JZCZIEOB · pith_short_8: RWLFNXE7

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/RWLFNXE7JZCZIEOBBAJS2U34QJ \
  | 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: 8d9656dc9f4e459411c108132d537c8247d3c6ee3a350cc8b2991072c80813e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c6bc72271320fe60bd1f21b1cb75446880b0a87d43cae343d07c96aab6ad7bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-20T09:31:54Z",
    "title_canon_sha256": "d4cda5b5c14913bed3a7e493a16e469e83dd528736124661b745132184f34570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4618",
    "kind": "arxiv",
    "version": 2
  }
}