Pith Number

pith:TJCJDW4A

pith:2021:TJCJDW4AL2PZSPBNST4ESHYIZQ

not attested not anchored not stored refs pending

Causality in Higher Order Process Theories

Giulio Chiribella, Matt Wilson

arxiv:2107.14581 v2 · 2021-07-30 · quant-ph · cs.LO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJCJDW4AL2PZSPBNST4ESHYIZQ}

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	2026-07-05T03:14:36.038664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a4491db805e9f993c2d94f8491f08cc013c5491e28f70ef041fe3a0d5eceda1

Aliases

arxiv: 2107.14581 · arxiv_version: 2107.14581v2 · doi: 10.48550/arxiv.2107.14581 · pith_short_12: TJCJDW4AL2PZ · pith_short_16: TJCJDW4AL2PZSPBN · pith_short_8: TJCJDW4A

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/TJCJDW4AL2PZSPBNST4ESHYIZQ \
  | 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: 9a4491db805e9f993c2d94f8491f08cc013c5491e28f70ef041fe3a0d5eceda1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57452e7064b484b6e63f1f52b20b1a7bba6a4ed9b9a23a6eb140c443ebeeeffd",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-07-30T12:36:12Z",
    "title_canon_sha256": "f614a3a2e5de03eaa08155475741ee7b1048e8dfa9da57a9f33a4ed2c6d73117"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.14581",
    "kind": "arxiv",
    "version": 2
  }
}