Pith Number

pith:7PFXGTJB

pith:2004:7PFXGTJBVBTOL75QF2PD47UL3T

not attested not anchored not stored refs pending

Holography for the Lorentz Group Racah Coefficients

Kirill Krasnov

arxiv:gr-qc/0412104 v3 · 2004-12-21 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PFXGTJBVBTOL75QF2PD47UL3T}

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.

Cited by

1 paper in Pith

Triangulating quantum gravity in AdS$_3$

Receipt and verification

First computed	2026-07-04T16:47:57.591945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbcb734d21a866e5ffb02e9e3e7e8bdcc4f0fad7c09eecc3d1600434b263afd7

Aliases

arxiv: gr-qc/0412104 · arxiv_version: gr-qc/0412104v3 · doi: 10.48550/arxiv.gr-qc/0412104 · pith_short_12: 7PFXGTJBVBTO · pith_short_16: 7PFXGTJBVBTOL75Q · pith_short_8: 7PFXGTJB

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/7PFXGTJBVBTOL75QF2PD47UL3T \
  | 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: fbcb734d21a866e5ffb02e9e3e7e8bdcc4f0fad7c09eecc3d1600434b263afd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93a08b4a437fe16d90c912c3dfb2d24201e9b625ac007ed9495003efeee53e18",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-12-21T15:28:30Z",
    "title_canon_sha256": "78e8b08d5d04a6e14f6e13cc8ad61df2c53587c8e4d9155556d05824dc8df1d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0412104",
    "kind": "arxiv",
    "version": 3
  }
}