Pith Number

pith:V3ZNGC66

pith:2018:V3ZNGC663MXO2ELDTURPW6PPZH

not attested not anchored not stored refs pending

Formulas for non-holomorphic Eisenstein series and for the Riemann zeta function at odd integers

Cormac O'Sullivan

arxiv:1803.08210 v2 · 2018-03-22 · 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{V3ZNGC663MXO2ELDTURPW6PPZH}

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	2026-05-18T00:02:45.084794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aef2d30bdedb2eed11639d22fb79efc9d239290068e50f5254a4bc19b09c2e7a

Aliases

arxiv: 1803.08210 · arxiv_version: 1803.08210v2 · doi: 10.48550/arxiv.1803.08210 · pith_short_12: V3ZNGC663MXO · pith_short_16: V3ZNGC663MXO2ELD · pith_short_8: V3ZNGC66

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/V3ZNGC663MXO2ELDTURPW6PPZH \
  | 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: aef2d30bdedb2eed11639d22fb79efc9d239290068e50f5254a4bc19b09c2e7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "419e56ef0464e92e38d78644c5976eb44cc98e11c0f3d0d917d35786d92ed0b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-22T02:54:03Z",
    "title_canon_sha256": "9b5eb5a6623d3d4b1df78b291e7a5b34bcb0a38eec8ab94bb6d83261c8a49ca6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08210",
    "kind": "arxiv",
    "version": 2
  }
}