Pith Number

pith:F7RHEBXV

pith:2018:F7RHEBXVSVHI2EMQSJWI47X3K2

not attested not anchored not stored refs pending

The Zakharov system in 4D radial energy space below the ground state

Kenji Nakanishi, Zihua Guo

arxiv:1810.05794 v1 · 2018-10-13 · 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{F7RHEBXVSVHI2EMQSJWI47X3K2}

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	2026-05-18T00:03:26.919355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fe27206f5954e8d1190926c8e7efb56b44c26cf493952fc3b95e341126caad4

Aliases

arxiv: 1810.05794 · arxiv_version: 1810.05794v1 · doi: 10.48550/arxiv.1810.05794 · pith_short_12: F7RHEBXVSVHI · pith_short_16: F7RHEBXVSVHI2EMQ · pith_short_8: F7RHEBXV

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/F7RHEBXVSVHI2EMQSJWI47X3K2 \
  | 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: 2fe27206f5954e8d1190926c8e7efb56b44c26cf493952fc3b95e341126caad4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62e9055b7c3873675c415abd9fe8b058810a31c6f812fe414f3c1f743d44ed24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-13T04:13:34Z",
    "title_canon_sha256": "f28d44d646bf83fe7703c8ec071643d14c0182c13d55a1abb7819b469b8c118b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05794",
    "kind": "arxiv",
    "version": 1
  }
}