Pith Number

pith:LTLNLRHH

pith:2006:LTLNLRHHFQFNXCIXXA26R5UT7B

not attested not anchored not stored refs pending

Multi-matrix loop equations: algebraic & differential structures and an approximation based on deformation quantization

Govind S. Krishnaswami

arxiv:hep-th/0606224 v1 · 2006-06-22 · 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{LTLNLRHHFQFNXCIXXA26R5UT7B}

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	2026-05-18T02:35:38.986336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cd6d5c4e72c0adb8917b835e8f693f86718badcd00ee8cf23998e698a2b0225

Aliases

arxiv: hep-th/0606224 · arxiv_version: hep-th/0606224v1 · doi: 10.48550/arxiv.hep-th/0606224 · pith_short_12: LTLNLRHHFQFN · pith_short_16: LTLNLRHHFQFNXCIX · pith_short_8: LTLNLRHH

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/LTLNLRHHFQFNXCIXXA26R5UT7B \
  | 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: 5cd6d5c4e72c0adb8917b835e8f693f86718badcd00ee8cf23998e698a2b0225

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f65bb909fc6b00d22b98c28f76854fe1577edd939fc18e30389cf71d9505613a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-06-22T16:20:33Z",
    "title_canon_sha256": "4db679bd3a4a944e05d10005091c9608a27c115b6f201a03e5bbbd4f94a6f58e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0606224",
    "kind": "arxiv",
    "version": 1
  }
}