Pith Number

pith:ZKFGP2KL

pith:2019:ZKFGP2KLQYZNM46A5SFTFENPLE

not attested not anchored not stored refs pending

Introduction to SU(2) recoupling theory and graphical methods for loop quantum gravity

Ilkka M\"akinen

arxiv:1910.06821 v2 · 2019-10-15 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKFGP2KLQYZNM46A5SFTFENPLE}

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	2026-07-05T00:13:04.905134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca8a67e94b8632d673c0ec8b3291af5924abe81f6ae5091e22f966a4ec611a7e

Aliases

arxiv: 1910.06821 · arxiv_version: 1910.06821v2 · doi: 10.48550/arxiv.1910.06821 · pith_short_12: ZKFGP2KLQYZN · pith_short_16: ZKFGP2KLQYZNM46A · pith_short_8: ZKFGP2KL

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/ZKFGP2KLQYZNM46A5SFTFENPLE \
  | 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: ca8a67e94b8632d673c0ec8b3291af5924abe81f6ae5091e22f966a4ec611a7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4e49ce64916fbdb6b441a59f2359999dbf815b424caede13c5360a48e4e82e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-10-15T14:41:33Z",
    "title_canon_sha256": "2da6f93bc27fea6cafe8ed739f168bc7653d6bac8733920f1de8fe326af5baa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.06821",
    "kind": "arxiv",
    "version": 2
  }
}