Pith Number

pith:MKDY4GZU

pith:2024:MKDY4GZUE2SC6VANRX5IYC7EJE

not attested not anchored not stored refs pending

A de Finetti theorem for quantum causal structures

Fabio Costa, Jonathan Barrett, Sally Shrapnel

arxiv:2403.10316 v3 · 2024-03-15 · 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{MKDY4GZUE2SC6VANRX5IYC7EJE}

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	2026-07-05T10:12:47.344923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62878e1b3426a42f540d8dfa8c0be449045f3c756a88891f5cbd3ba94d7d6fb0

Aliases

arxiv: 2403.10316 · arxiv_version: 2403.10316v3 · doi: 10.48550/arxiv.2403.10316 · pith_short_12: MKDY4GZUE2SC · pith_short_16: MKDY4GZUE2SC6VAN · pith_short_8: MKDY4GZU

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/MKDY4GZUE2SC6VANRX5IYC7EJE \
  | 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: 62878e1b3426a42f540d8dfa8c0be449045f3c756a88891f5cbd3ba94d7d6fb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c99b8d14ace767463c2984622b86e03308e3e312e74b06174077178ce49b2c83",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-03-15T14:00:59Z",
    "title_canon_sha256": "6d14b1a5df94d2c7100acf5371d05690838a8c2716cf7b000e0d8408716fdc9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.10316",
    "kind": "arxiv",
    "version": 3
  }
}