Pith Number

pith:ZCPJ6MGI

pith:2015:ZCPJ6MGIHZC6GFTPRWDC2DBYAG

not attested not anchored not stored refs pending

Beyond gauge theory: Hilbert space positivity and causal localization in the presence of vector mesons

Bert Schroer

arxiv:1601.04528 v4 · 2015-12-28 · physics.gen-ph · hep-th · 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{ZCPJ6MGIHZC6GFTPRWDC2DBYAG}

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	2026-05-18T00:53:02.732391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c89e9f30c83e45e3166f8d862d0c3801b48d99d87b363e4fe3bc9bb14c0fac44

Aliases

arxiv: 1601.04528 · arxiv_version: 1601.04528v4 · doi: 10.48550/arxiv.1601.04528 · pith_short_12: ZCPJ6MGIHZC6 · pith_short_16: ZCPJ6MGIHZC6GFTP · pith_short_8: ZCPJ6MGI

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/ZCPJ6MGIHZC6GFTPRWDC2DBYAG \
  | 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: c89e9f30c83e45e3166f8d862d0c3801b48d99d87b363e4fe3bc9bb14c0fac44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2e678f92718034a9b9a5feaa597bac67c71f36f2b23b9793e80b9e60f21c8fa",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2015-12-28T18:53:37Z",
    "title_canon_sha256": "707c3ca004586dd218a4d49adb3c8568af9237a69e85a18ac050ace88ec75348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04528",
    "kind": "arxiv",
    "version": 4
  }
}