Pith Number

pith:X4OGU4XW

pith:2016:X4OGU4XWEFRCW3RGA65IEGGO72

not attested not anchored not stored refs pending

Optimal amount of entanglement to distinguish quantum states instantaneously

Berry Groisman, Sergii Strelchuk

arxiv:1603.07160 v1 · 2016-03-23 · 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{X4OGU4XWEFRCW3RGA65IEGGO72}

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	2026-05-18T01:18:24.231530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf1c6a72f621622b6e2607ba8218cefeaf8989b1a03d307a274ca293a07bf2ef

Aliases

arxiv: 1603.07160 · arxiv_version: 1603.07160v1 · doi: 10.48550/arxiv.1603.07160 · pith_short_12: X4OGU4XWEFRC · pith_short_16: X4OGU4XWEFRCW3RG · pith_short_8: X4OGU4XW

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/X4OGU4XWEFRCW3RGA65IEGGO72 \
  | 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: bf1c6a72f621622b6e2607ba8218cefeaf8989b1a03d307a274ca293a07bf2ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f42b88e4b4f80eb511a5bede00fe7d0dc6cbad918297051d84bd38642c4f559",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-03-23T12:41:47Z",
    "title_canon_sha256": "efaede9978a20fa3ad6a3163e0651810357aa0c1e19af43beeb78917ee99b2af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07160",
    "kind": "arxiv",
    "version": 1
  }
}