Pith Number

pith:XKFSR7CA

pith:2009:XKFSR7CA7MOKGRQMCXYYSBR35M

not attested not anchored not stored refs pending

The Fine Structure of SU(2) Intertwiners from U(N) Representations

Etera R. Livine, Laurent Freidel

arxiv:0911.3553 v1 · 2009-11-18 · gr-qc · 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{XKFSR7CA7MOKGRQMCXYYSBR35M}

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	2026-05-18T04:25:01.727393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba8b28fc40fb1ca3460c15f189063beb1a4a0ee2e91c518824af6d5873965514

Aliases

arxiv: 0911.3553 · arxiv_version: 0911.3553v1 · doi: 10.48550/arxiv.0911.3553 · pith_short_12: XKFSR7CA7MOK · pith_short_16: XKFSR7CA7MOKGRQM · pith_short_8: XKFSR7CA

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/XKFSR7CA7MOKGRQMCXYYSBR35M \
  | 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: ba8b28fc40fb1ca3460c15f189063beb1a4a0ee2e91c518824af6d5873965514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70f63ea7ef57ea9e27a1e0c70c88b39ae181f56cf54de824f0984b5c5d8ce351",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-11-18T14:31:48Z",
    "title_canon_sha256": "104cf47b7eca8b76b27947bee1e06393ad1e4394c7d595189a769288e32681fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3553",
    "kind": "arxiv",
    "version": 1
  }
}