Pith Number

pith:LNWPD5NR

pith:2011:LNWPD5NRH4SPBFO4XPZPUTIIRA

not attested not anchored not stored refs pending

Spinors and Voros star-product for Group Field Theory: First Contact

Etera R. Livine, Florian Girelli, Mait\'e Dupuis

arxiv:1107.5693 v1 · 2011-07-28 · 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{LNWPD5NRH4SPBFO4XPZPUTIIRA}

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	2026-05-18T03:23:02.704581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b6cf1f5b13f24f095dcbbf2fa4d088830fb20ffe861da88ce2f36c622f610ac

Aliases

arxiv: 1107.5693 · arxiv_version: 1107.5693v1 · doi: 10.48550/arxiv.1107.5693 · pith_short_12: LNWPD5NRH4SP · pith_short_16: LNWPD5NRH4SPBFO4 · pith_short_8: LNWPD5NR

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/LNWPD5NRH4SPBFO4XPZPUTIIRA \
  | 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: 5b6cf1f5b13f24f095dcbbf2fa4d088830fb20ffe861da88ce2f36c622f610ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4f882fe04a42271b9d446cc6269a5dd534e3f85eea78c332951c00b55074941",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-07-28T12:12:10Z",
    "title_canon_sha256": "b4b1344bae00f45f15e15105d3c5b53c46ad55d33994434f42c2506c77ffd5ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5693",
    "kind": "arxiv",
    "version": 1
  }
}