Pith Number

pith:REF5V3AD

pith:2017:REF5V3ADGCSBCDMTY64XGNEWEU

not attested not anchored not stored refs pending

Integrable $sl(\infty)$-modules and Category $\mathcal O$ for $\mathfrak{gl}(m|n)$

Crystal Hoyt, Ivan Penkov, Vera Serganova

arxiv:1712.00664 v4 · 2017-12-02 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{REF5V3ADGCSBCDMTY64XGNEWEU}

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	2026-05-18T00:04:50.035669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

890bdaec0330a4110d93c7b9733496253371bc1cd7ff8697341acb2321df566b

Aliases

arxiv: 1712.00664 · arxiv_version: 1712.00664v4 · doi: 10.48550/arxiv.1712.00664 · pith_short_12: REF5V3ADGCSB · pith_short_16: REF5V3ADGCSBCDMT · pith_short_8: REF5V3AD

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/REF5V3ADGCSBCDMTY64XGNEWEU \
  | 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: 890bdaec0330a4110d93c7b9733496253371bc1cd7ff8697341acb2321df566b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd58584004ab653c9f825781bc7dddd6f4e6ad94cd27d0dc9b4e64828ee56ebf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-12-02T20:59:36Z",
    "title_canon_sha256": "e6561bcd8a428994df0862aae6929de676b0c026d075e22f29cf982a4974723e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00664",
    "kind": "arxiv",
    "version": 4
  }
}