Pith Number

pith:D33X4RBB

pith:2013:D33X4RBBAYRKAA5JODUJXUG47D

not attested not anchored not stored refs pending

Stability of character sums for positive-depth, supercuspidal representations

Loren Spice, Stephen DeBacker

arxiv:1310.3306 v1 · 2013-10-11 · 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{D33X4RBBAYRKAA5JODUJXUG47D}

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	2026-05-18T00:53:11.134437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ef77e44210622a003a970e89bd0dcf8d9643983612c96df245dacc7361db4b6

Aliases

arxiv: 1310.3306 · arxiv_version: 1310.3306v1 · doi: 10.48550/arxiv.1310.3306 · pith_short_12: D33X4RBBAYRK · pith_short_16: D33X4RBBAYRKAA5J · pith_short_8: D33X4RBB

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/D33X4RBBAYRKAA5JODUJXUG47D \
  | 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: 1ef77e44210622a003a970e89bd0dcf8d9643983612c96df245dacc7361db4b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0853559b49e165a29b27d58c2c50ac82fcbf1a6fe387eb1827e4c4ebfc8512d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-10-11T22:40:11Z",
    "title_canon_sha256": "7043f56a15008c1221b2924c6d2c3107894ea562e3962ad89c09219616c38a02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3306",
    "kind": "arxiv",
    "version": 1
  }
}