Pith Number

pith:MZ4BVLKD

pith:2016:MZ4BVLKDSYMHRGWKVGXKQVIOBN

not attested not anchored not stored refs pending

The Mathematics of Entanglement

Aram W. Harrow, Fernando G.S.L. Brandao, Matthias Christandl, Michael Walter

arxiv:1604.01790 v1 · 2016-04-06 · 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{MZ4BVLKDSYMHRGWKVGXKQVIOBN}

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	2026-05-18T01:17:32.120740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66781aad439618789acaa9aea8550e0b61979f7d31439e4a83ca11ab8a0eb314

Aliases

arxiv: 1604.01790 · arxiv_version: 1604.01790v1 · doi: 10.48550/arxiv.1604.01790 · pith_short_12: MZ4BVLKDSYMH · pith_short_16: MZ4BVLKDSYMHRGWK · pith_short_8: MZ4BVLKD

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/MZ4BVLKDSYMHRGWKVGXKQVIOBN \
  | 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: 66781aad439618789acaa9aea8550e0b61979f7d31439e4a83ca11ab8a0eb314

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85277cfe6790d90f9b7b7d61c7e18d88cb6d14879fd0abb7a62a3efaad829798",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-04-06T20:05:10Z",
    "title_canon_sha256": "0463e486fec8dcf707d9f874e9148a95f462b2bc372a83f27f5cc8b5b54a17b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01790",
    "kind": "arxiv",
    "version": 1
  }
}