Pith Number

pith:4LHLWSLN

pith:2008:4LHLWSLNKMUZ3HEELGY7YAZSQJ

not attested not anchored not stored refs pending

Most quantum states are too entangled to be useful as computational resources

D. Gross, J. Eisert, S. Flammia

arxiv:0810.4331 v3 · 2008-10-24 · 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{4LHLWSLNKMUZ3HEELGY7YAZSQJ}

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

The Structure of Circle Graph States

Receipt and verification

First computed	2026-05-18T02:15:23.466009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2cebb496d53299d9c8459b1fc03328262c20e1cba14c57aeb284142b52fb952

Aliases

arxiv: 0810.4331 · arxiv_version: 0810.4331v3 · doi: 10.48550/arxiv.0810.4331 · pith_short_12: 4LHLWSLNKMUZ · pith_short_16: 4LHLWSLNKMUZ3HEE · pith_short_8: 4LHLWSLN

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/4LHLWSLNKMUZ3HEELGY7YAZSQJ \
  | 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: e2cebb496d53299d9c8459b1fc03328262c20e1cba14c57aeb284142b52fb952

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d69771fab3ea693c435632a6b146a1d5ecb597b2064f8a9e63001b734aca55ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-10-24T19:27:05Z",
    "title_canon_sha256": "6d72342e8611f9921dcc0aac9560c8cc5f2c8ebb0acc5db364b3716df1a24635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.4331",
    "kind": "arxiv",
    "version": 3
  }
}