Pith Number

pith:23A3W3RT

pith:2021:23A3W3RTLF2FI66TYU66BE53S7

not attested not anchored not stored refs pending

Connection between cut-and-join and Casimir operators

A. Mironov, A. Morozov, A. Zhabin

arxiv:2105.10978 v2 · 2021-05-23 · hep-th · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{23A3W3RTLF2FI66TYU66BE53S7}

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	2026-07-05T04:29:08.422918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6c1bb6e335974547bd3c53de093bb97f907a851b4dae1279306ef076db427d5

Aliases

arxiv: 2105.10978 · arxiv_version: 2105.10978v2 · doi: 10.48550/arxiv.2105.10978 · pith_short_12: 23A3W3RTLF2F · pith_short_16: 23A3W3RTLF2FI66T · pith_short_8: 23A3W3RT

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/23A3W3RTLF2FI66TYU66BE53S7 \
  | 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: d6c1bb6e335974547bd3c53de093bb97f907a851b4dae1279306ef076db427d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c3b25aac1ac226799ef21397522360448aca3622b6d8438cec28031744743c7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-05-23T17:20:17Z",
    "title_canon_sha256": "e20baf2e7d07b8e163c22dd36993f546039e8ce6cc261516dfa436572f618181"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.10978",
    "kind": "arxiv",
    "version": 2
  }
}