Pith Number

pith:XLQUOU3F

pith:2026:XLQUOU3F5X3AYV4IPA2ARTY5H4

not attested not anchored not stored refs pending

Complete Relational Description of Spin in a Quantum Background

Hannah Troger, Marios Christodoulou, Ofek Bengyat, Thomas D. Galley

arxiv:2606.15873 v2 · 2026-06-14 · quant-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLQUOU3F5X3AYV4IPA2ARTY5H4}

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	2026-07-01T01:17:52.980006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bae1475365edf60c5788783408cf1d3f21b02783ee6e84887f1ead6d3705248b

Aliases

arxiv: 2606.15873 · arxiv_version: 2606.15873v2 · doi: 10.48550/arxiv.2606.15873 · pith_short_12: XLQUOU3F5X3A · pith_short_16: XLQUOU3F5X3AYV4I · pith_short_8: XLQUOU3F

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/XLQUOU3F5X3AYV4IPA2ARTY5H4 \
  | 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: bae1475365edf60c5788783408cf1d3f21b02783ee6e84887f1ead6d3705248b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2944d81736a30e37dd98d8ca68d57fb4d5951fd25ca82eac59bef3d6c221762",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-14T15:46:01Z",
    "title_canon_sha256": "34e041caa3422b51b0b7146a14fbe002f75ed91c338e7c8a85fe68b86304f377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.15873",
    "kind": "arxiv",
    "version": 2
  }
}