Pith Number

pith:Q5CJNVMW

pith:1997:Q5CJNVMW5BNGGIRPFIDWDZNBMR

not attested not anchored not stored refs pending

On the complex structure in the Gupta-Bleuler quantization method

A. Galajinsky, S. Bellucci

arxiv:hep-th/9712247 v1 · 1997-12-29 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5CJNVMW5BNGGIRPFIDWDZNBMR}

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	2026-07-04T16:05:49.066281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

874496d596e85a63222f2a0761e5a1645bfec9438fef810616a45c6f2ed6515b

Aliases

arxiv: hep-th/9712247 · arxiv_version: hep-th/9712247v1 · doi: 10.48550/arxiv.hep-th/9712247 · pith_short_12: Q5CJNVMW5BNG · pith_short_16: Q5CJNVMW5BNGGIRP · pith_short_8: Q5CJNVMW

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/Q5CJNVMW5BNGGIRPFIDWDZNBMR \
  | 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: 874496d596e85a63222f2a0761e5a1645bfec9438fef810616a45c6f2ed6515b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a27b5586dff5efc2a923717c29c2f7aed5c1fccb7a9558ac6b74fd6858794b78",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1997-12-29T13:47:19Z",
    "title_canon_sha256": "5ee8696a603033800af112a0000dd6b82abd5e9916c6b3340ac1d79c460813c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9712247",
    "kind": "arxiv",
    "version": 1
  }
}