Pith Number

pith:APXSA72I

pith:2011:APXSA72IMXI4VQTIMECZHLJWQX

not attested not anchored not stored refs pending

Evolution of Fock states in three mixed harmonic oscillators: quantum statistics

Faisal A. A. El-Orany, J. Perina, M. Sebawe Abdalla

arxiv:1108.2344 v1 · 2011-08-11 · 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{APXSA72IMXI4VQTIMECZHLJWQX}

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	2026-05-18T02:00:55.360366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03ef207f4865d1cac268610593ad3685e40442e63bf388d78800187a3d85e7f0

Aliases

arxiv: 1108.2344 · arxiv_version: 1108.2344v1 · doi: 10.48550/arxiv.1108.2344 · pith_short_12: APXSA72IMXI4 · pith_short_16: APXSA72IMXI4VQTI · pith_short_8: APXSA72I

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/APXSA72IMXI4VQTIMECZHLJWQX \
  | 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: 03ef207f4865d1cac268610593ad3685e40442e63bf388d78800187a3d85e7f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a8fb71078608ed65d33a569e13d53e35a3ead6d45f3c5587cec8b42fe8c813d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-08-11T08:14:21Z",
    "title_canon_sha256": "641edcfa9b85fc337627a6b389152231d98872c32396a6ba88592b58d92bacd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2344",
    "kind": "arxiv",
    "version": 1
  }
}