Pith Number

pith:EUD6ANHN

pith:2014:EUD6ANHND774G4SHYXRD4KJYZK

not attested not anchored not stored refs pending

Cauchy Means of Dirichlet polynomials

Michel Weber

arxiv:1412.7812 v1 · 2014-12-25 · math.NT · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EUD6ANHND774G4SHYXRD4KJYZK}

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	2026-05-18T00:39:58.690506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2507e034ed1fffc37247c5e23e2938ca9c88ab1479c6f070f99e43019c65c067

Aliases

arxiv: 1412.7812 · arxiv_version: 1412.7812v1 · doi: 10.48550/arxiv.1412.7812 · pith_short_12: EUD6ANHND774 · pith_short_16: EUD6ANHND774G4SH · pith_short_8: EUD6ANHN

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/EUD6ANHND774G4SHYXRD4KJYZK \
  | 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: 2507e034ed1fffc37247c5e23e2938ca9c88ab1479c6f070f99e43019c65c067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4f82f61694edffacdb89ecda13e6e6a1d7ae2175ead4afc6b78ff3f81754311",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-25T11:37:25Z",
    "title_canon_sha256": "a867e3e7de534c8ce7ec6129d51ea937973acfd5d2105099bb2b27ba8db49037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7812",
    "kind": "arxiv",
    "version": 1
  }
}