Pith Number

pith:I5AVPZG3

pith:2015:I5AVPZG3CQ6ULKDC4326CYVA2F

not attested not anchored not stored refs pending

Star operations for affine Hecke algebras

Dan Barbasch, Dan Ciubotaru

arxiv:1504.04361 v1 · 2015-04-16 · 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{I5AVPZG3CQ6ULKDC4326CYVA2F}

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	2026-05-18T02:18:33.359618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

474157e4db143d45a862e6f5e162a0d1776bec41f6a1e45b182f79eaef10fa66

Aliases

arxiv: 1504.04361 · arxiv_version: 1504.04361v1 · doi: 10.48550/arxiv.1504.04361 · pith_short_12: I5AVPZG3CQ6U · pith_short_16: I5AVPZG3CQ6ULKDC · pith_short_8: I5AVPZG3

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/I5AVPZG3CQ6ULKDC4326CYVA2F \
  | 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: 474157e4db143d45a862e6f5e162a0d1776bec41f6a1e45b182f79eaef10fa66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e90dc98c7cd7661c13dfc7362b922167525219c0b5bed93865473923a248951a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-04-16T19:54:18Z",
    "title_canon_sha256": "4e6935842a0f621b8a2a0fbb1129f6f130d6759f95a90d58ba00c37c61810310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04361",
    "kind": "arxiv",
    "version": 1
  }
}