Pith Number

pith:DS3GBP5D

pith:2011:DS3GBP5DTTILGB27HOLM7IPSKW

not attested not anchored not stored refs pending

Phase operators, phase states and vector phase states for SU(3) and SU(2,1)

Maurice Robert Kibler (IPNL), Mohammed Daoud (IPNL)

arxiv:1104.4452 v1 · 2011-04-22 · 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{DS3GBP5DTTILGB27HOLM7IPSKW}

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	2026-05-18T02:02:16.208217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cb660bfa39cd0b3075f3b96cfa1f255ad35fba59011680c6170d2985e55fe15

Aliases

arxiv: 1104.4452 · arxiv_version: 1104.4452v1 · doi: 10.48550/arxiv.1104.4452 · pith_short_12: DS3GBP5DTTIL · pith_short_16: DS3GBP5DTTILGB27 · pith_short_8: DS3GBP5D

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/DS3GBP5DTTILGB27HOLM7IPSKW \
  | 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: 1cb660bfa39cd0b3075f3b96cfa1f255ad35fba59011680c6170d2985e55fe15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0baed709cfb110263713f785d1c56c8f019955ad383153e6ae0ed41e35df2cc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-04-22T14:38:01Z",
    "title_canon_sha256": "b8eb264a36101785a390e39e874c7902042e9e23f40f50c43ea69113fbe0c333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4452",
    "kind": "arxiv",
    "version": 1
  }
}