Pith Number

pith:5HSTXFNW

pith:2009:5HSTXFNWO4AFAMV635M6H5FLNG

not attested not anchored not stored refs pending

Wigner Functions for harmonic oscillator in noncommutative phase space

Jianhua Wang, Kang Li, Sayipjamal Dulat

arxiv:0908.1703 v1 · 2009-08-12 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HSTXFNWO4AFAMV635M6H5FLNG}

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	2026-07-04T15:47:42.458613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9e53b95b677005032bedf59e3f4ab69bdfdc3cc51118b869ede1ff201a03cb3

Aliases

arxiv: 0908.1703 · arxiv_version: 0908.1703v1 · doi: 10.48550/arxiv.0908.1703 · pith_short_12: 5HSTXFNWO4AF · pith_short_16: 5HSTXFNWO4AFAMV6 · pith_short_8: 5HSTXFNW

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/5HSTXFNWO4AFAMV635M6H5FLNG \
  | 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: e9e53b95b677005032bedf59e3f4ab69bdfdc3cc51118b869ede1ff201a03cb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e40e0bc89d88726955d756bc5a90eab3df998562af772f3fb8517b2a381807e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-08-12T13:00:54Z",
    "title_canon_sha256": "d47415a409d26af8a4d70f3d762064b94aa6f162ec851a7389b523b1eff99977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1703",
    "kind": "arxiv",
    "version": 1
  }
}