Pith Number

pith:5EJIOZAI

pith:2024:5EJIOZAI47WET7IZ42M3DOJ5FO

not attested not anchored not stored refs pending

Formalization of physics index notation in Lean 4

Joseph Tooby-Smith

arxiv:2411.07667 v1 · 2024-11-12 · cs.LO · hep-ph · 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{5EJIOZAI47WET7IZ42M3DOJ5FO}

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

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4

Receipt and verification

First computed	2026-07-05T09:34:27.067614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e912876408e7ec49fd19e699b1b93d2bb310f21d35783f5f80b82d5582f55de4

Aliases

arxiv: 2411.07667 · arxiv_version: 2411.07667v1 · doi: 10.48550/arxiv.2411.07667 · pith_short_12: 5EJIOZAI47WE · pith_short_16: 5EJIOZAI47WET7IZ · pith_short_8: 5EJIOZAI

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/5EJIOZAI47WET7IZ42M3DOJ5FO \
  | 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: e912876408e7ec49fd19e699b1b93d2bb310f21d35783f5f80b82d5582f55de4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "831efc4f5bef6bdcb21593658e20b5d2b4b34b2411cb376d9afb0baf144a0af9",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2024-11-12T09:35:07Z",
    "title_canon_sha256": "cd83e31a0a7025a083f1582e6c4056ca4ab1908a5f49c212884ae362439d6e25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.07667",
    "kind": "arxiv",
    "version": 1
  }
}