Pith Number

pith:62KR2GDV

pith:2007:62KR2GDVHQBV6UAVZRYQ7PCLU6

not attested not anchored not stored refs pending

Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups

Dipendra Prasad, George Lusztig, Shrawan Kumar

arxiv:math/0701615 v3 · 2007-01-22 · math.RT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{62KR2GDVHQBV6UAVZRYQ7PCLU6}

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.

Cited by

1 paper in Pith

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair

Receipt and verification

First computed	2026-07-04T15:04:19.656519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6951d18753c035f5015cc710fbc4ba7b2cd4300122a3e142c08da011b8c8c8a

Aliases

arxiv: math/0701615 · arxiv_version: math/0701615v3 · doi: 10.48550/arxiv.math/0701615 · pith_short_12: 62KR2GDVHQBV · pith_short_16: 62KR2GDVHQBV6UAV · pith_short_8: 62KR2GDV

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/62KR2GDVHQBV6UAVZRYQ7PCLU6 \
  | 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: f6951d18753c035f5015cc710fbc4ba7b2cd4300122a3e142c08da011b8c8c8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fe66277f356ba143e0a158196cc14d08f75897299bc15217d9bb93f3e628b27",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-01-22T16:15:29Z",
    "title_canon_sha256": "122abc14e62efab800a45e0b29c069793d76bd5eea778c6960485a8fa0f63db0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701615",
    "kind": "arxiv",
    "version": 3
  }
}