Pith Number

pith:CJCIAO4U

pith:2018:CJCIAO4UX6LFY5NZOSVUULTOIX

not attested not anchored not stored refs pending

Symmetry breaking via Morse index for equations and systems of H\'enon-Schr\"odinger type

Tobias Weth, Zhenluo Lou, Zhitao Zhang

arxiv:1803.02712 v1 · 2018-03-07 · 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{CJCIAO4UX6LFY5NZOSVUULTOIX}

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	2026-05-18T00:21:49.441510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1244803b94bf965c75b974ab4a2e6e45fca0a7ebc54bb9ea6afa63a3025c5679

Aliases

arxiv: 1803.02712 · arxiv_version: 1803.02712v1 · doi: 10.48550/arxiv.1803.02712 · pith_short_12: CJCIAO4UX6LF · pith_short_16: CJCIAO4UX6LFY5NZ · pith_short_8: CJCIAO4U

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/CJCIAO4UX6LFY5NZOSVUULTOIX \
  | 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: 1244803b94bf965c75b974ab4a2e6e45fca0a7ebc54bb9ea6afa63a3025c5679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17dc0d2530d30bb673b2cde604380c9ba00f17023843a5a2ad53949e0982c2b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-07T15:21:59Z",
    "title_canon_sha256": "7dae669dc5f580204e4979b7b7c4bd8f98132e56ce25ae683770da09bc611eb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02712",
    "kind": "arxiv",
    "version": 1
  }
}