Pith Number

pith:SKUAHOS4

pith:2016:SKUAHOS4WNF6IFYMTJYBFV3HVS

not attested not anchored not stored refs pending

Joint universality for dependent $L$-functions

{\L}ukasz Pa\'nkowski

arxiv:1604.04396 v1 · 2016-04-15 · 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{SKUAHOS4WNF6IFYMTJYBFV3HVS}

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	2026-05-18T00:24:22.865248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92a803ba5cb34be4170c9a7012d767aca1a174ad42df534b0dda6d4b03d032fb

Aliases

arxiv: 1604.04396 · arxiv_version: 1604.04396v1 · doi: 10.48550/arxiv.1604.04396 · pith_short_12: SKUAHOS4WNF6 · pith_short_16: SKUAHOS4WNF6IFYM · pith_short_8: SKUAHOS4

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/SKUAHOS4WNF6IFYMTJYBFV3HVS \
  | 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: 92a803ba5cb34be4170c9a7012d767aca1a174ad42df534b0dda6d4b03d032fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7de5522de96204902d3273ed3511d5c6f9dd15f20c4c43598b54fccfbc38afcd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-15T08:19:39Z",
    "title_canon_sha256": "68fc2e02cd77f3870b936a6e90bc79c13a9654ccab200b7b9032f1ae64e2173b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04396",
    "kind": "arxiv",
    "version": 1
  }
}