Pith Number

pith:QXG6ZE2Y

pith:2024:QXG6ZE2YLERADNSRT2RSMARENR

not attested not anchored not stored refs pending

Universal chain rules from entropic triangle inequalities

Ashutosh Marwah, Fr\'ed\'eric Dupuis

arxiv:2412.06723 v1 · 2024-12-09 · 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{QXG6ZE2YLERADNSRT2RSMARENR}

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	2026-07-05T09:46:37.076488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85cdec9358592201b6519ea32602246c7981f864bf4a642cd284a78d2c2173f8

Aliases

arxiv: 2412.06723 · arxiv_version: 2412.06723v1 · doi: 10.48550/arxiv.2412.06723 · pith_short_12: QXG6ZE2YLERA · pith_short_16: QXG6ZE2YLERADNSR · pith_short_8: QXG6ZE2Y

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/QXG6ZE2YLERADNSRT2RSMARENR \
  | 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: 85cdec9358592201b6519ea32602246c7981f864bf4a642cd284a78d2c2173f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f781f970d3adc41b04d3bcc9b9cc91b2abe9084234532ecce8a1a25ec084efa9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-12-09T18:10:28Z",
    "title_canon_sha256": "e33a2b566c67c1a96fbc61523ccb914c443825d2f6fad53eb6d4f006e089a63e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.06723",
    "kind": "arxiv",
    "version": 1
  }
}