Pith Number

pith:HH6R2KJ6

pith:2012:HH6R2KJ6LPU4ABYULGBRM3KTMP

not attested not anchored not stored refs pending

Small energy scattering for the Klein-Gordon-Zakharov system with radial symmetry

Kenji Nakanishi, Shuxia Wang, Zihua Guo

arxiv:1208.1657 v1 · 2012-08-08 · 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{HH6R2KJ6LPU4ABYULGBRM3KTMP}

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	2026-05-18T03:49:10.966381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39fd1d293e5be9c007145983166d5363d3e39f42c9c3c2a35b8c154a260033b9

Aliases

arxiv: 1208.1657 · arxiv_version: 1208.1657v1 · doi: 10.48550/arxiv.1208.1657 · pith_short_12: HH6R2KJ6LPU4 · pith_short_16: HH6R2KJ6LPU4ABYU · pith_short_8: HH6R2KJ6

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/HH6R2KJ6LPU4ABYULGBRM3KTMP \
  | 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: 39fd1d293e5be9c007145983166d5363d3e39f42c9c3c2a35b8c154a260033b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6e376c4015153719a316716468815f43ada463c12372e5656b26e47714594b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-08T13:09:49Z",
    "title_canon_sha256": "008078af58e224b8d30ed53d69c5d11cc2ff9ce5ce5e1d0dec97b9c59971d609"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1657",
    "kind": "arxiv",
    "version": 1
  }
}