Pith Number

pith:Y4CBOWJC

pith:2026:Y4CBOWJCYHI6WFE3XJJJ3YB446

not attested not anchored not stored refs pending

Causality from the spectrum: Emergence of causal order from process-matrix mereology

Alexei Grinbaum, Nicolas Loizeau, Oliver Friedrich, Varun Kushwaha

arxiv:2607.15345 v1 · 2026-07-16 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4CBOWJCYHI6WFE3XJJJ3YB446}

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	2026-07-20T00:18:28.523804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c704175922c1d1eb149bba529de03ce78a1ef49041bf611df291c6feeccf7978

Aliases

arxiv: 2607.15345 · arxiv_version: 2607.15345v1 · doi: 10.48550/arxiv.2607.15345 · pith_short_12: Y4CBOWJCYHI6 · pith_short_16: Y4CBOWJCYHI6WFE3 · pith_short_8: Y4CBOWJC

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/Y4CBOWJCYHI6WFE3XJJJ3YB446 \
  | 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: c704175922c1d1eb149bba529de03ce78a1ef49041bf611df291c6feeccf7978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e18d51f8323dde1ffdfe519db364ccc487cef7365c6d6b80a4f358b99abca46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-16T18:00:31Z",
    "title_canon_sha256": "df6f0be6cadbb1b9c4d7baf94cc9f2c843bd5b4ded729e407e6063aed528525e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15345",
    "kind": "arxiv",
    "version": 1
  }
}