Pith Number

pith:3FQKKWZ5

pith:2013:3FQKKWZ56HTF6VCM756MCWKD3R

not attested not anchored not stored refs pending

Hermitian forms for affine Hecke algebras

Dan Barbasch, Dan Ciubotaru

arxiv:1312.3316 v2 · 2013-12-11 · 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{3FQKKWZ56HTF6VCM756MCWKD3R}

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	2026-05-18T02:20:59.506832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d960a55b3df1e65f544cff7cc15943dc4ca8e7b894bbb3751f6f99db64a8c4d2

Aliases

arxiv: 1312.3316 · arxiv_version: 1312.3316v2 · doi: 10.48550/arxiv.1312.3316 · pith_short_12: 3FQKKWZ56HTF · pith_short_16: 3FQKKWZ56HTF6VCM · pith_short_8: 3FQKKWZ5

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/3FQKKWZ56HTF6VCM756MCWKD3R \
  | 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: d960a55b3df1e65f544cff7cc15943dc4ca8e7b894bbb3751f6f99db64a8c4d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05a6134858c670654cc0cef7afcce54c22aeeaa7ed50298a170bd947d8e9264e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-12-11T20:57:32Z",
    "title_canon_sha256": "211bd7af06084c79d303aab13d3ac5e1462135d65683687f20ab77af21c3b722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3316",
    "kind": "arxiv",
    "version": 2
  }
}