Pith Number

pith:PC64XNRO

pith:2018:PC64XNRO2KMXCJNGM7JP5QBSAI

not attested not anchored not stored refs pending

On the third moment of $L(\tfrac{1}{2}, \chi_d)$ II: the number field case

Adrian Diaconu, Ian Whitehead

arxiv:1804.00690 v1 · 2018-04-02 · 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{PC64XNRO2KMXCJNGM7JP5QBSAI}

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	2026-05-18T00:19:32.482021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78bdcbb62ed2997125a667d2fec032022413d6ad9c0a2bc7ac461ee3b8148dcd

Aliases

arxiv: 1804.00690 · arxiv_version: 1804.00690v1 · doi: 10.48550/arxiv.1804.00690 · pith_short_12: PC64XNRO2KMX · pith_short_16: PC64XNRO2KMXCJNG · pith_short_8: PC64XNRO

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/PC64XNRO2KMXCJNGM7JP5QBSAI \
  | 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: 78bdcbb62ed2997125a667d2fec032022413d6ad9c0a2bc7ac461ee3b8148dcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e1bf69db5f784acd94bbb7b31ceb75d05c978febc1249a30e34aa32ba131577",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-02T18:41:31Z",
    "title_canon_sha256": "f574c802d6efdf2d13901d291f0dfd652d7d743cb2554da28614bc04ff8eb58a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00690",
    "kind": "arxiv",
    "version": 1
  }
}