Pith Number

pith:QMT7BOWF

pith:2010:QMT7BOWFV7G3CXTQHF3DGWEXYF

not attested not anchored not stored refs pending

Polynomial algebras and exact solutions of general quantum non-linear optical models II: Multi-mode boson systems

Wen-Li Yang, Yao-Zhong Zhang, Yuan-Harng Lee

arxiv:1004.1235 v2 · 2010-04-08 · math-ph · cond-mat.stat-mech · hep-th · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QMT7BOWFV7G3CXTQHF3DGWEXYF}

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	2026-05-18T02:33:34.764193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8327f0bac5afcdb15e703976335897c14dc14b7bdc0902dd8918986c771db786

Aliases

arxiv: 1004.1235 · arxiv_version: 1004.1235v2 · doi: 10.48550/arxiv.1004.1235 · pith_short_12: QMT7BOWFV7G3 · pith_short_16: QMT7BOWFV7G3CXTQ · pith_short_8: QMT7BOWF

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/QMT7BOWFV7G3CXTQHF3DGWEXYF \
  | 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: 8327f0bac5afcdb15e703976335897c14dc14b7bdc0902dd8918986c771db786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d9a6c3a7096831d2f58fdccaa23a903d08ad0f63776040c2a1c58563dd49091",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-04-08T03:40:06Z",
    "title_canon_sha256": "b46022c41725131364cc966d58c17e0e932bd1cc3d3bbceac8cd4f48c15501e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1235",
    "kind": "arxiv",
    "version": 2
  }
}