Pith Number

pith:S6JRXDU6

pith:2018:S6JRXDU6JCC7JSY64WHYFUB7L7

not attested not anchored not stored refs pending

Unions, intersections and a one-shot quantum joint typicality lemma

Pranab Sen

arxiv:1806.07278 v3 · 2018-06-19 · quant-ph · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S6JRXDU6JCC7JSY64WHYFUB7L7}

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.

Cited by

1 paper in Pith

Thermalization with partial information

Receipt and verification

First computed	2026-07-05T02:01:53.299222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97931b8e9e4885f4cb1ee58f82d03f5fd2871d521c4bb122f8b756646ca7bbb2

Aliases

arxiv: 1806.07278 · arxiv_version: 1806.07278v3 · doi: 10.48550/arxiv.1806.07278 · pith_short_12: S6JRXDU6JCC7 · pith_short_16: S6JRXDU6JCC7JSY6 · pith_short_8: S6JRXDU6

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/S6JRXDU6JCC7JSY64WHYFUB7L7 \
  | 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: 97931b8e9e4885f4cb1ee58f82d03f5fd2871d521c4bb122f8b756646ca7bbb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bd540ef8b44c5c9699cad9122eafc04015c453e286437749785dcc7e489a3e4",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-06-19T14:24:40Z",
    "title_canon_sha256": "186d1073faef52b9e3a2bce7f9fa5ed79ea9841e2857ec18a9d32ce842f51cb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07278",
    "kind": "arxiv",
    "version": 3
  }
}