Pith Number

pith:4UURM6W6

pith:2016:4UURM6W6RL3ZMFM764PWFPWPD7

not attested not anchored not stored refs pending

Multivariate Trace Inequalities

David Sutter, Marco Tomamichel, Mario Berta

arxiv:1604.03023 v3 · 2016-04-11 · math-ph · cs.IT · math.IT · math.MP · 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{4UURM6W6RL3ZMFM764PWFPWPD7}

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

Conditional Independence of 1D Gibbs States with Applications to Efficient Learning

Receipt and verification

First computed	2026-05-18T00:48:37.358418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e529167ade8af796159ff71f62becf1ffa8e83076f4d7a0146c7c1891b4e04a4

Aliases

arxiv: 1604.03023 · arxiv_version: 1604.03023v3 · doi: 10.48550/arxiv.1604.03023 · pith_short_12: 4UURM6W6RL3Z · pith_short_16: 4UURM6W6RL3ZMFM7 · pith_short_8: 4UURM6W6

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/4UURM6W6RL3ZMFM764PWFPWPD7 \
  | 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: e529167ade8af796159ff71f62becf1ffa8e83076f4d7a0146c7c1891b4e04a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0069393619da3a1aa65d2db522ede133b9ecf1572783303eedfcc04594bf3cc5",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-04-11T16:34:50Z",
    "title_canon_sha256": "2612290b20af97bb0d5f89a42eddf4e4bff7f3a0a112b1b6f5a51886b6ed9760"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03023",
    "kind": "arxiv",
    "version": 3
  }
}