Pith Number

pith:OTL4R5LS

pith:2025:OTL4R5LSHTCLUBS5PPUN3ZXXME

not attested not anchored not stored refs pending

Optimal symmetry operators

Leandro Martinek

arxiv:2509.09670 v1 · 2025-09-11 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTL4R5LSHTCLUBS5PPUN3ZXXME}

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	2026-07-05T12:09:40.493953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74d7c8f5723cc4ba065d7be8dde6f7612c29c5c374daadfc12120a240ded3c34

Aliases

arxiv: 2509.09670 · arxiv_version: 2509.09670v1 · doi: 10.48550/arxiv.2509.09670 · pith_short_12: OTL4R5LSHTCL · pith_short_16: OTL4R5LSHTCLUBS5 · pith_short_8: OTL4R5LS

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/OTL4R5LSHTCLUBS5PPUN3ZXXME \
  | 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: 74d7c8f5723cc4ba065d7be8dde6f7612c29c5c374daadfc12120a240ded3c34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7fe38deae1a91daa40b26ada7d0cca29f1df65d4414959128d6d89e7484e066",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-09-11T17:59:01Z",
    "title_canon_sha256": "b8b8753b9edc05f3464bdfbf77c6e4b3ef16de2c37d456766353172fe9ead179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.09670",
    "kind": "arxiv",
    "version": 1
  }
}