Pith Number

pith:TCUHQLRI

pith:2017:TCUHQLRIPPDKNO2I22HLB2CDL7

not attested not anchored not stored refs pending

General first-order mass ladder operators for Klein-Gordon fields

Masashi Kimura, Tsuyoshi Houri, Vitor Cardoso

arxiv:1707.08534 v3 · 2017-07-26 · hep-th · gr-qc · 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{TCUHQLRIPPDKNO2I22HLB2CDL7}

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	2026-05-18T00:27:19.302386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a8782e287bc6a6bb48d68eb0e8435fead86ea679dba6ab7bd17fc2fbd451fe

Aliases

arxiv: 1707.08534 · arxiv_version: 1707.08534v3 · doi: 10.48550/arxiv.1707.08534 · pith_short_12: TCUHQLRIPPDK · pith_short_16: TCUHQLRIPPDKNO2I · pith_short_8: TCUHQLRI

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/TCUHQLRIPPDKNO2I22HLB2CDL7 \
  | 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: 98a8782e287bc6a6bb48d68eb0e8435fead86ea679dba6ab7bd17fc2fbd451fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e0dd6770a2cab8b4db1a8c0fe4c92e2cde8846caef313177082891a0fed888e",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-07-26T16:50:40Z",
    "title_canon_sha256": "3aad60c55b9002e1e2ca2b5aba67485276af1cbd41faca48c252ecef9980d2ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08534",
    "kind": "arxiv",
    "version": 3
  }
}