Pith Number

pith:BIE3T7UG

pith:2013:BIE3T7UG5NSGKMSH373YD7SE22

not attested not anchored not stored refs pending

Bhargava Integer Cubes and Weyl Group Multiple Dirichlet Series

Jun Wen

arxiv:1311.2132 v2 · 2013-11-09 · 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{BIE3T7UG5NSGKMSH373YD7SE22}

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	2026-05-18T01:27:46.761108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a09b9fe86eb64653247dff781fe44d696ba6fc01d7c4add634e30f8399c6ac8

Aliases

arxiv: 1311.2132 · arxiv_version: 1311.2132v2 · doi: 10.48550/arxiv.1311.2132 · pith_short_12: BIE3T7UG5NSG · pith_short_16: BIE3T7UG5NSGKMSH · pith_short_8: BIE3T7UG

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/BIE3T7UG5NSGKMSH373YD7SE22 \
  | 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: 0a09b9fe86eb64653247dff781fe44d696ba6fc01d7c4add634e30f8399c6ac8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22d0c46ec90fda9d25b864698194fed6a87a4bdd39095480d841d7b9f382ad93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-09T03:02:49Z",
    "title_canon_sha256": "a03eff50cf79cad292abca4fe2e455067078d7815cd0866b7a8cfd89079aa9e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2132",
    "kind": "arxiv",
    "version": 2
  }
}