Pith Number

pith:JDURBCC5

pith:2007:JDURBCC5J3YLFHTTLRRVE3V6FB

not attested not anchored not stored refs pending

The maximal p-norm multiplicativity conjecture is false

Patrick Hayden

arxiv:0707.3291 v1 · 2007-07-23 · 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{JDURBCC5J3YLFHTTLRRVE3V6FB}

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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

Additivity Results for the R\'enyi-2 Entanglement of Purification

Receipt and verification

First computed	2026-05-18T04:10:34.760840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48e910885d4ef0b29e735c63526ebe28621ba336973d25b60e7647bba66b8e61

Aliases

arxiv: 0707.3291 · arxiv_version: 0707.3291v1 · doi: 10.48550/arxiv.0707.3291 · pith_short_12: JDURBCC5J3YL · pith_short_16: JDURBCC5J3YLFHTT · pith_short_8: JDURBCC5

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/JDURBCC5J3YLFHTTLRRVE3V6FB \
  | 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: 48e910885d4ef0b29e735c63526ebe28621ba336973d25b60e7647bba66b8e61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88af3be5d4ba1310e7ef9c6275e583d79e5375e4f06ac02f8b3d73bdd4a0c47b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-07-23T18:29:24Z",
    "title_canon_sha256": "a850d1127c991d96ca90f2ba158391e54f1eb4243373d9724afffe1c14553bc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.3291",
    "kind": "arxiv",
    "version": 1
  }
}