Pith Number

pith:FQWSRGOX

pith:2015:FQWSRGOX6GLIOAZD5B4LHXGPOQ

not attested not anchored not stored refs pending

The nine ways of four qubit entanglement and their threetangle

Andreas Osterloh

arxiv:1512.02468 v2 · 2015-12-08 · quant-ph · cond-mat.other

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQWSRGOX6GLIOAZD5B4LHXGPOQ}

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	2026-05-18T01:06:24.513479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c2d2899d7f196870323e878b3dccf742cf4c6913973433cbbdaf7933a6eeb98

Aliases

arxiv: 1512.02468 · arxiv_version: 1512.02468v2 · doi: 10.48550/arxiv.1512.02468 · pith_short_12: FQWSRGOX6GLI · pith_short_16: FQWSRGOX6GLIOAZD · pith_short_8: FQWSRGOX

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/FQWSRGOX6GLIOAZD5B4LHXGPOQ \
  | 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: 2c2d2899d7f196870323e878b3dccf742cf4c6913973433cbbdaf7933a6eeb98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84e7f1b2870342f65b12271a9529de057a8a6a8a88cc25f4872cd9a8b21fdd3a",
    "cross_cats_sorted": [
      "cond-mat.other"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-12-08T13:54:27Z",
    "title_canon_sha256": "a59e8de538c1513ce0c0e62c78f691ad4d94e9e0fb4dad17aac32d55a4d497fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02468",
    "kind": "arxiv",
    "version": 2
  }
}