Pith Number

pith:5KCTQJBO

pith:2019:5KCTQJBOYKFL4DIL3QTCKXJX46

not attested not anchored not stored refs pending

The zero mass problem for Klein-Gordon equations

Shijie Dong

arxiv:1905.08620 v1 · 2019-05-21 · 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{5KCTQJBOYKFL4DIL3QTCKXJX46}

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	2026-05-17T23:45:42.625863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea8538242ec28abe0d0bdc26255d37e7a887f470dda8507fe562f157728002c5

Aliases

arxiv: 1905.08620 · arxiv_version: 1905.08620v1 · doi: 10.48550/arxiv.1905.08620 · pith_short_12: 5KCTQJBOYKFL · pith_short_16: 5KCTQJBOYKFL4DIL · pith_short_8: 5KCTQJBO

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/5KCTQJBOYKFL4DIL3QTCKXJX46 \
  | 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: ea8538242ec28abe0d0bdc26255d37e7a887f470dda8507fe562f157728002c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdbb1ea5aee35d995328fc7e2db2d06157e250dd97fb011730333f97fc2a3774",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-21T13:28:42Z",
    "title_canon_sha256": "aa62586ac1c71db57be52a98f74d9761e33fda3419febb5746289bd255ee9574"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08620",
    "kind": "arxiv",
    "version": 1
  }
}