Pith Number

pith:PGPCMSZN

pith:2007:PGPCMSZNMTH3EREKYNIFTLBYAY

not attested not anchored not stored refs pending

On global solution to the Klein-Gordon-Hartree equation below energy space

Changxing Miao, Junyong Zhang

arxiv:0704.1866 v4 · 2007-04-14 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGPCMSZNMTH3EREKYNIFTLBYAY}

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	2026-05-18T04:28:20.573750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

799e264b2d64cfb2448ac35059ac38060efec96d5e5e29e821d4e3be58f2913b

Aliases

arxiv: 0704.1866 · arxiv_version: 0704.1866v4 · doi: 10.48550/arxiv.0704.1866 · pith_short_12: PGPCMSZNMTH3 · pith_short_16: PGPCMSZNMTH3EREK · pith_short_8: PGPCMSZN

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/PGPCMSZNMTH3EREKYNIFTLBYAY \
  | 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: 799e264b2d64cfb2448ac35059ac38060efec96d5e5e29e821d4e3be58f2913b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ce224bf485acc7c106a7c67259c96d12737af4b2818953a5ded1c85eecf65eb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2007-04-14T13:16:38Z",
    "title_canon_sha256": "4701d9394fb645bac09facf4ac35e986c700debbc0f7397254ac99b00465325e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.1866",
    "kind": "arxiv",
    "version": 4
  }
}