Pith Number

pith:GU4JB3N7

pith:2016:GU4JB3N7QEDDOQNFBEJAAHYH45

not attested not anchored not stored refs pending

Special functions and twisted $L$-series

Bruno Angl\`es, Floric Tavares Ribeiro, Tuan Ngo Dac

arxiv:1609.04792 v1 · 2016-09-15 · 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{GU4JB3N7QEDDOQNFBEJAAHYH45}

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	2026-05-18T01:04:35.544229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

353890edbf81063741a50912001f07e740f3dc194e7659afccb017c3c32df0a2

Aliases

arxiv: 1609.04792 · arxiv_version: 1609.04792v1 · doi: 10.48550/arxiv.1609.04792 · pith_short_12: GU4JB3N7QEDD · pith_short_16: GU4JB3N7QEDDOQNF · pith_short_8: GU4JB3N7

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/GU4JB3N7QEDDOQNFBEJAAHYH45 \
  | 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: 353890edbf81063741a50912001f07e740f3dc194e7659afccb017c3c32df0a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "414213af857063c1316c96af8a3a7fadf15c48c142e36d3dfc5bdd68c552ef3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-15T19:32:18Z",
    "title_canon_sha256": "0c622475c486af69ecfe84ba699579e2511603c67bdb8f3be0fabeb8c90036a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04792",
    "kind": "arxiv",
    "version": 1
  }
}