Pith Number

pith:56HFIJME

pith:2015:56HFIJME2DG2PQFOZBLT2YZNCA

not attested not anchored not stored refs pending

Invariants of the vacuum module associated with the Lie superalgebra gl(1|1)

A. I. Molev, E. E. Mukhin

arxiv:1502.03511 v2 · 2015-02-12 · math.RT · math-ph · math.CO · 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{56HFIJME2DG2PQFOZBLT2YZNCA}

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	2026-05-18T01:35:38.190114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef8e542584d0cda7c0aec8573d632d100ae5a122a264ec04cdcf18928e52ac75

Aliases

arxiv: 1502.03511 · arxiv_version: 1502.03511v2 · doi: 10.48550/arxiv.1502.03511 · pith_short_12: 56HFIJME2DG2 · pith_short_16: 56HFIJME2DG2PQFO · pith_short_8: 56HFIJME

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/56HFIJME2DG2PQFOZBLT2YZNCA \
  | 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: ef8e542584d0cda7c0aec8573d632d100ae5a122a264ec04cdcf18928e52ac75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d0af22e42ebaefd3a05da8ce24f539c81fe9063236af7d51cd4a45ba307ad1c",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-02-12T02:14:51Z",
    "title_canon_sha256": "5f489a3e29a3af9225a2ff5a7c0de8f8bbfef0afd1877e404457bd850052d284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03511",
    "kind": "arxiv",
    "version": 2
  }
}