Pith Number

pith:X4PC7KE5

pith:2013:X4PC7KE5XNXFPFDUSLJ5L23ZA4

not attested not anchored not stored refs pending

Canonical formalism and quantization of a massless spinning bosonic particle in four dimensions

Satoshi Okano, Shinichi Deguchi, Shouma Negishi, Takafumi Suzuki

arxiv:1309.4169 v3 · 2013-09-17 · hep-th · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4PC7KE5XNXFPFDUSLJ5L23ZA4}

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	2026-05-18T01:47:36.894877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf1e2fa89dbb6e57947492d3d5eb79071e6dd8a60f70382dc3beb162a03a955c

Aliases

arxiv: 1309.4169 · arxiv_version: 1309.4169v3 · doi: 10.48550/arxiv.1309.4169 · pith_short_12: X4PC7KE5XNXF · pith_short_16: X4PC7KE5XNXFPFDU · pith_short_8: X4PC7KE5

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/X4PC7KE5XNXFPFDUSLJ5L23ZA4 \
  | 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: bf1e2fa89dbb6e57947492d3d5eb79071e6dd8a60f70382dc3beb162a03a955c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27414fe0140475cf189301dc70457c7baaff69673bedd7938bf4714bf1c979b5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-09-17T03:40:26Z",
    "title_canon_sha256": "0e49753cab79a0546f39d773a6431c959d39c509a63e76636437af14d76d84f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4169",
    "kind": "arxiv",
    "version": 3
  }
}