Pith Number

pith:GJEE7ZJ7

pith:2011:GJEE7ZJ74MMIMVV6NIWKI5AFB4

not attested not anchored not stored refs pending

Semiclassical Analysis of the Wigner $9J$-Symbol with Small and Large Angular Momenta

Liang Yu, Robert G. Littlejohn

arxiv:1104.1499 v3 · 2011-04-08 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJEE7ZJ74MMIMVV6NIWKI5AFB4}

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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	2026-05-18T02:22:10.381813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32484fe53fe3188656be6a2ca474050f16ee955b3be6c5cc79399dea05e6df9f

Aliases

arxiv: 1104.1499 · arxiv_version: 1104.1499v3 · doi: 10.48550/arxiv.1104.1499 · pith_short_12: GJEE7ZJ74MMI · pith_short_16: GJEE7ZJ74MMIMVV6 · pith_short_8: GJEE7ZJ7

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/GJEE7ZJ74MMIMVV6NIWKI5AFB4 \
  | 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: 32484fe53fe3188656be6a2ca474050f16ee955b3be6c5cc79399dea05e6df9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "291cbde6c3bba0233bb4b6a988452568d323b429048412440a6f418c36da2a92",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-08T07:00:33Z",
    "title_canon_sha256": "fc1c9c2c288d5916d174e709a4a2e0202ab88794a5580b3bd3c46fa8c674c70c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1499",
    "kind": "arxiv",
    "version": 3
  }
}