Pith Number

pith:L42EO2YE

pith:2012:L42EO2YEZVZECN255NSPTH5MO7

not attested not anchored not stored refs pending

Whittaker models and the integral Bernstein center for GL_n

David Helm

arxiv:1210.1789 v1 · 2012-10-05 · math.NT · 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{L42EO2YEZVZECN255NSPTH5MO7}

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	2026-05-18T01:08:45.018512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f34476b04cd7241375deb64f99fac77c4318fbcbe19078e9aa9a4ba271b95a8

Aliases

arxiv: 1210.1789 · arxiv_version: 1210.1789v1 · doi: 10.48550/arxiv.1210.1789 · pith_short_12: L42EO2YEZVZE · pith_short_16: L42EO2YEZVZECN25 · pith_short_8: L42EO2YE

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/L42EO2YEZVZECN255NSPTH5MO7 \
  | 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: 5f34476b04cd7241375deb64f99fac77c4318fbcbe19078e9aa9a4ba271b95a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0a2da9f275fbefee87944a4cb97bc9facaec30fe7916274df2156886fec73fc",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-05T15:33:12Z",
    "title_canon_sha256": "fe93963c161be490b035cb8c427bf2fe21f71a8a0ec93583b1e8e6f3f67f6ab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1789",
    "kind": "arxiv",
    "version": 1
  }
}