Pith Number

pith:ZPQEEG4C

pith:2016:ZPQEEG4CAJWSJDA3ET2E2K6NCJ

not attested not anchored not stored refs pending

Smooth cuspidal automorphic forms and integrable discrete series

Goran Mui\'c

arxiv:1610.05483 v2 · 2016-10-18 · 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{ZPQEEG4CAJWSJDA3ET2E2K6NCJ}

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	2026-05-18T00:56:19.130610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe0421b82026d248c1b24f44d2bcd1245bb6217ddb5f3503fa87f8881b169ad

Aliases

arxiv: 1610.05483 · arxiv_version: 1610.05483v2 · doi: 10.48550/arxiv.1610.05483 · pith_short_12: ZPQEEG4CAJWS · pith_short_16: ZPQEEG4CAJWSJDA3 · pith_short_8: ZPQEEG4C

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/ZPQEEG4CAJWSJDA3ET2E2K6NCJ \
  | 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: cbe0421b82026d248c1b24f44d2bcd1245bb6217ddb5f3503fa87f8881b169ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41848d1e02bec5e330e2140141d3b7571b774976057a92a1f9082a0efc7e6829",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-18T08:51:18Z",
    "title_canon_sha256": "acde86d7f7301c581d9c6f8eb750e010752af5ba2f0b2d2d1a35b23b034c5258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05483",
    "kind": "arxiv",
    "version": 2
  }
}