Pith Number

pith:5WYXYY3S

pith:2016:5WYXYY3SWCMJOTJP5KEW6WSSHI

not attested not anchored not stored refs pending

Structure of parabolically induced modules for affine Kac-Moody algebras

Iryna Kashuba, Vyacheslav Futorny

arxiv:1610.07082 v4 · 2016-10-22 · 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{5WYXYY3SWCMJOTJP5KEW6WSSHI}

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	2026-05-18T00:19:09.097871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edb17c6372b098974d2fea896f5a523a2a0b50339284603655ec8617bdda67f5

Aliases

arxiv: 1610.07082 · arxiv_version: 1610.07082v4 · doi: 10.48550/arxiv.1610.07082 · pith_short_12: 5WYXYY3SWCMJ · pith_short_16: 5WYXYY3SWCMJOTJP · pith_short_8: 5WYXYY3S

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/5WYXYY3SWCMJOTJP5KEW6WSSHI \
  | 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: edb17c6372b098974d2fea896f5a523a2a0b50339284603655ec8617bdda67f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6112ab511ca4b01fd3888b84fdb61850c5709f28371cf24bc01cb2e22f30f64c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-10-22T17:53:40Z",
    "title_canon_sha256": "3086dcd406a028e44700fd804cc733f0f33dac664c295fab3aa1a0f729468f49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07082",
    "kind": "arxiv",
    "version": 4
  }
}