Pith Number

pith:GF4ZM434

pith:2017:GF4ZM434MP4OGJ362BJ3WYN3BZ

not attested not anchored not stored refs pending

Decomposability and Convex Structure of Thermal Processes

Micha{\l} Horodecki, Pawe{\l} Mazurek

arxiv:1707.06869 v2 · 2017-07-21 · 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{GF4ZM434MP4OGJ362BJ3WYN3BZ}

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	2026-05-18T00:02:28.211837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

317996737c63f8e3277ed053bb61bb0e69b381509a4984d96d96268bc51580d7

Aliases

arxiv: 1707.06869 · arxiv_version: 1707.06869v2 · doi: 10.48550/arxiv.1707.06869 · pith_short_12: GF4ZM434MP4O · pith_short_16: GF4ZM434MP4OGJ36 · pith_short_8: GF4ZM434

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/GF4ZM434MP4OGJ362BJ3WYN3BZ \
  | 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: 317996737c63f8e3277ed053bb61bb0e69b381509a4984d96d96268bc51580d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29a6d732f200994eed3a120c25cca76916891b153252d3d2e461bdc008543e87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-07-21T12:38:42Z",
    "title_canon_sha256": "0692d86640732e1ec00b1302eaac790015a91a970a5964f4745197c37b685745"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06869",
    "kind": "arxiv",
    "version": 2
  }
}