Pith Number

pith:WAREWXRB

pith:2019:WAREWXRBLINNSYNTUMZY3DDIX4

not attested not anchored not stored refs pending

Geometric Approach to Quantum Theory

Albert Schwarz

arxiv:1906.04939 v3 · 2019-06-12 · math-ph · hep-th · 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{WAREWXRBLINNSYNTUMZY3DDIX4}

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.

Cited by

1 paper in Pith

Scattering matrix and inclusive scattering matrix in algebraic quantum field theory

Receipt and verification

First computed	2026-07-05T00:51:51.898183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0224b5e215a1ad961b3a3338d8c68bf12699d671310330e3191566d760134c3

Aliases

arxiv: 1906.04939 · arxiv_version: 1906.04939v3 · doi: 10.48550/arxiv.1906.04939 · pith_short_12: WAREWXRBLINN · pith_short_16: WAREWXRBLINNSYNT · pith_short_8: WAREWXRB

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/WAREWXRBLINNSYNTUMZY3DDIX4 \
  | 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: b0224b5e215a1ad961b3a3338d8c68bf12699d671310330e3191566d760134c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "804e1008b94cafdb4784b9cb59fe487f5e8389f44e4236fa2ebac828a4df6370",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-06-12T04:48:12Z",
    "title_canon_sha256": "de2c8da2a0f7d2031e726d4a576cf6303403994a913e351286c4ff8ab0cb6240"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04939",
    "kind": "arxiv",
    "version": 3
  }
}