Pith Number

pith:YWQ5AHPI

pith:2019:YWQ5AHPI7W55WMELDQ5QEDEBBV

not attested not anchored not stored refs pending

Consequences of functional equations for pairs of p-adic L-functions

C\'edric Dion, Florian Ito Sprung

arxiv:1906.08377 v2 · 2019-06-19 · 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{YWQ5AHPI7W55WMELDQ5QEDEBBV}

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	2026-05-17T23:42:32.206019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5a1d01de8fdbbdb308b1c3b020c810d496333ebacda84a2be32ff16c8656b75

Aliases

arxiv: 1906.08377 · arxiv_version: 1906.08377v2 · doi: 10.48550/arxiv.1906.08377 · pith_short_12: YWQ5AHPI7W55 · pith_short_16: YWQ5AHPI7W55WMEL · pith_short_8: YWQ5AHPI

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/YWQ5AHPI7W55WMELDQ5QEDEBBV \
  | 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: c5a1d01de8fdbbdb308b1c3b020c810d496333ebacda84a2be32ff16c8656b75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05cc95c1db9642aafd4223e7a4e5ed1286abba41b63ab97be282067abde7497f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-19T21:52:48Z",
    "title_canon_sha256": "16e222039517fa852fda166bc9cee0bef68c9b7296314bebbf7fa81f0a7202d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08377",
    "kind": "arxiv",
    "version": 2
  }
}