Pith Number

pith:BNE5WPIN

pith:2026:BNE5WPINDX44WCSAOAVZTLZNZM

not attested not anchored not stored refs pending

The Scattering Algebra of Physical Space: Wigner-Covariance and Fields

Moab Croft, Neil Christensen

arxiv:2606.10082 v1 · 2026-06-08 · hep-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{BNE5WPINDX44WCSAOAVZTLZNZM}

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	2026-06-10T00:08:48.367566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b49db3d0d1df9cb0a40702b99af2dcb25fb77de27b3056544bbafa48b6ccfda

Aliases

arxiv: 2606.10082 · arxiv_version: 2606.10082v1 · doi: 10.48550/arxiv.2606.10082 · pith_short_12: BNE5WPINDX44 · pith_short_16: BNE5WPINDX44WCSA · pith_short_8: BNE5WPIN

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/BNE5WPINDX44WCSAOAVZTLZNZM \
  | 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: 0b49db3d0d1df9cb0a40702b99af2dcb25fb77de27b3056544bbafa48b6ccfda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b212a753ac5b7f5d1434861e99fdaab1b806b793de6b32641beeefef973db93",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-06-08T19:05:53Z",
    "title_canon_sha256": "4e6087cec3a1f282793d2c4c2f6597709159c46adc98ff178646d25ba909ab55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10082",
    "kind": "arxiv",
    "version": 1
  }
}