Pith Number

pith:Z5MLSAXJ

pith:2011:Z5MLSAXJLIAPHIEA5TNU5ITQV6

not attested not anchored not stored refs pending

The Impact of Giulio Racah on Crystal- and Ligand-field Theories

Maurice Robert Kibler (IPNL)

arxiv:1103.2272 v1 · 2011-03-11 · quant-ph · cond-mat.other

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5MLSAXJLIAPHIEA5TNU5ITQV6}

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	2026-05-18T04:26:46.552973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf58b902e95a00f3a080ecdb4ea270af8fce47f17599f15cb20328d83c57375f

Aliases

arxiv: 1103.2272 · arxiv_version: 1103.2272v1 · doi: 10.48550/arxiv.1103.2272 · pith_short_12: Z5MLSAXJLIAP · pith_short_16: Z5MLSAXJLIAPHIEA · pith_short_8: Z5MLSAXJ

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/Z5MLSAXJLIAPHIEA5TNU5ITQV6 \
  | 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: cf58b902e95a00f3a080ecdb4ea270af8fce47f17599f15cb20328d83c57375f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd5e1038291c3bfeefc176b62d4c7e128f991c227c4f258435e566984a60d6cb",
    "cross_cats_sorted": [
      "cond-mat.other"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-03-11T14:07:12Z",
    "title_canon_sha256": "8c398b3e9cd4618fe1f0a4764e0c6c1efe28ca6b7dfeb06f8b6a00fadd589801"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2272",
    "kind": "arxiv",
    "version": 1
  }
}