Pith Number

pith:UMHWM5Y6

pith:2011:UMHWM5Y6C3C5YACLNVTCJIUS7S

not attested not anchored not stored refs pending

Non-commutative holonomies in 2+1 LQG and Kauffman's brackets

Alejandro Perez, Daniele Pranzetti, Karim Noui

arxiv:1112.1825 v1 · 2011-12-08 · 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{UMHWM5Y6C3C5YACLNVTCJIUS7S}

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	2026-05-18T03:48:48.037464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a30f66771e16c5dc004b6d6624a292fc96c8525794832b6c76f66bff89f6cdee

Aliases

arxiv: 1112.1825 · arxiv_version: 1112.1825v1 · doi: 10.48550/arxiv.1112.1825 · pith_short_12: UMHWM5Y6C3C5 · pith_short_16: UMHWM5Y6C3C5YACL · pith_short_8: UMHWM5Y6

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/UMHWM5Y6C3C5YACLNVTCJIUS7S \
  | 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: a30f66771e16c5dc004b6d6624a292fc96c8525794832b6c76f66bff89f6cdee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3a5bebb8f96e1bb255d9c85879e253922411ee470ac6b6116028d1397438fa8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-12-08T13:04:21Z",
    "title_canon_sha256": "0765786f64838619ce2f7c3a4fdedfd7d31907002b9e39317a39bd4d6d72e0ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1825",
    "kind": "arxiv",
    "version": 1
  }
}