Pith Number

pith:Q2QDJMQL

pith:2021:Q2QDJMQLLHR5LY4QNXGG3FMT56

not attested not anchored not stored refs pending

Catalytic Entropy Principles

M. X. Luo, X. Wang

arxiv:2104.03452 v1 · 2021-04-08 · 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{Q2QDJMQLLHR5LY4QNXGG3FMT56}

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	2026-07-05T02:30:17.469939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86a034b20b59e3d5e3906dcc6d9593ef90824c95eb870690164183ca87cb1002

Aliases

arxiv: 2104.03452 · arxiv_version: 2104.03452v1 · doi: 10.48550/arxiv.2104.03452 · pith_short_12: Q2QDJMQLLHR5 · pith_short_16: Q2QDJMQLLHR5LY4Q · pith_short_8: Q2QDJMQL

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/Q2QDJMQLLHR5LY4QNXGG3FMT56 \
  | 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: 86a034b20b59e3d5e3906dcc6d9593ef90824c95eb870690164183ca87cb1002

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2da7bff7df05d729c392bd88f175074a6eb7ab7335caf2af53eedacfda8b8c3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-04-08T01:13:36Z",
    "title_canon_sha256": "0d1b2bf09598e3056347b3b3b5f26b3bdf16cf3b19f39b1bea23334a154c3aff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.03452",
    "kind": "arxiv",
    "version": 1
  }
}