Pith Number

pith:PGBERAY4

pith:2017:PGBERAY4BEJMF3UKPH7HTGXYPJ

not attested not anchored not stored refs pending

The Hecke algebras for the orthogonal group $SO(2,3)$ and the paramodular group of degree $2$

Aloys Krieg, Jonas Gallenk\"amper

arxiv:1710.09156 v2 · 2017-10-25 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGBERAY4BEJMF3UKPH7HTGXYPJ}

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	2026-05-18T00:20:38.677576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

798248831c0912c2ee8a79fe799af87a7d5647df42f5e9eb478b313876a5fa02

Aliases

arxiv: 1710.09156 · arxiv_version: 1710.09156v2 · doi: 10.48550/arxiv.1710.09156 · pith_short_12: PGBERAY4BEJM · pith_short_16: PGBERAY4BEJMF3UK · pith_short_8: PGBERAY4

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/PGBERAY4BEJMF3UKPH7HTGXYPJ \
  | 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: 798248831c0912c2ee8a79fe799af87a7d5647df42f5e9eb478b313876a5fa02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59a81ecd0a8c51956d3cd0c67e049dd54f0b785455fa5dfb34bdf10d64bdb4da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-25T10:31:45Z",
    "title_canon_sha256": "d3e0a0db583adda8e5face1f8016d2c3f1c3f505b1bdeff8a1b22d2b8f5213ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09156",
    "kind": "arxiv",
    "version": 2
  }
}