Pith Number

pith:PM42JL22

pith:2006:PM42JL22BL7WUT5ANB5V4DQOFG

not attested not anchored not stored refs pending

Cooperative behavior of qutrits with dipole-dipole interactions

A. Mandilara, V. M. Akulin

arxiv:quant-ph/0609121 v2 · 2006-09-16 · 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{PM42JL22BL7WUT5ANB5V4DQOFG}

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	2026-05-18T01:37:54.235556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b39a4af5a0aff6a4fa0687b5e0e0e29b883cf94e5b3a6a78d62a07a411be730

Aliases

arxiv: quant-ph/0609121 · arxiv_version: quant-ph/0609121v2 · doi: 10.48550/arxiv.quant-ph/0609121 · pith_short_12: PM42JL22BL7W · pith_short_16: PM42JL22BL7WUT5A · pith_short_8: PM42JL22

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/PM42JL22BL7WUT5ANB5V4DQOFG \
  | 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: 7b39a4af5a0aff6a4fa0687b5e0e0e29b883cf94e5b3a6a78d62a07a411be730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee267e910ddb117b4397fc614ffb8cf9b6c843d18623b91c8f5613a7d9b406af",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-09-16T20:24:04Z",
    "title_canon_sha256": "51e9114e14deeae8c10c3ef4c325fd640e3319382032a4bc33fe83530d023449"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0609121",
    "kind": "arxiv",
    "version": 2
  }
}