Pith Number

pith:VPHM7MQA

pith:2016:VPHM7MQAJQ7IG66RO25RMKBYD5

not attested not anchored not stored refs pending

Generating Functions on Covering Groups

David Ginzburg

arxiv:1603.05784 v1 · 2016-03-18 · 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{VPHM7MQAJQ7IG66RO25RMKBYD5}

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	2026-05-17T23:53:34.244057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abcecfb2004c3e837bd176bb1628381f5b36dd429c393dc38c0b8987e564a9ac

Aliases

arxiv: 1603.05784 · arxiv_version: 1603.05784v1 · doi: 10.48550/arxiv.1603.05784 · pith_short_12: VPHM7MQAJQ7I · pith_short_16: VPHM7MQAJQ7IG66R · pith_short_8: VPHM7MQA

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/VPHM7MQAJQ7IG66RO25RMKBYD5 \
  | 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: abcecfb2004c3e837bd176bb1628381f5b36dd429c393dc38c0b8987e564a9ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "898eb76096267a986ba13706d6279da1f086d469588b6ad90bbed218e378a6c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-03-18T07:20:33Z",
    "title_canon_sha256": "15bf5c75f0ab11db1e5c16c14c335ac0563ecd359192e86948cd54a738c4c625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05784",
    "kind": "arxiv",
    "version": 1
  }
}