Pith Number

pith:ZTCKLQIG

pith:2016:ZTCKLQIGST6YRHP5INSDXNKRU4

not attested not anchored not stored refs pending

Elementary Thermal Operations

\'Alvaro M. Alhambra, Christopher Perry, Matteo Lostaglio

arxiv:1607.00394 v3 · 2016-07-01 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZTCKLQIGST6YRHP5INSDXNKRU4}

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	2026-05-18T00:23:57.121987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccc4a5c10694fd889dfd43643bb551a732e7d38c21159f9b8f6002a766ed34e0

Aliases

arxiv: 1607.00394 · arxiv_version: 1607.00394v3 · doi: 10.48550/arxiv.1607.00394 · pith_short_12: ZTCKLQIGST6Y · pith_short_16: ZTCKLQIGST6YRHP5 · pith_short_8: ZTCKLQIG

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/ZTCKLQIGST6YRHP5INSDXNKRU4 \
  | 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: ccc4a5c10694fd889dfd43643bb551a732e7d38c21159f9b8f6002a766ed34e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "834921b34b131ea97c053b264602153d198759f01f8202c0fbe47a36c141417c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-07-01T20:05:58Z",
    "title_canon_sha256": "17b00302b52c71b995a8d9c9a2f9e9ecf1d09a1521ef4614b0fe46392537ba68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00394",
    "kind": "arxiv",
    "version": 3
  }
}