Pith Number

pith:FUZ35CW6

pith:2018:FUZ35CW6FG5QGEY7DIBMN6BDNL

not attested not anchored not stored refs pending

Rapidly converging formulae for $\zeta(4k\pm 1)$

Blake Wilkerson, Shubho Banerjee

arxiv:1803.03291 v1 · 2018-03-09 · 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{FUZ35CW6FG5QGEY7DIBMN6BDNL}

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	2026-05-18T00:21:40.093590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d33be8ade29bb03131f1a02c6f8236ac60fab123aa309837879e02fb7bff25c

Aliases

arxiv: 1803.03291 · arxiv_version: 1803.03291v1 · doi: 10.48550/arxiv.1803.03291 · pith_short_12: FUZ35CW6FG5Q · pith_short_16: FUZ35CW6FG5QGEY7 · pith_short_8: FUZ35CW6

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/FUZ35CW6FG5QGEY7DIBMN6BDNL \
  | 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: 2d33be8ade29bb03131f1a02c6f8236ac60fab123aa309837879e02fb7bff25c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afedc741619961b3f240ceac4a04c2766fcb4bbe593d08bdf5f832e994ded036",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-09T18:50:20Z",
    "title_canon_sha256": "705055257553207d8bc77ce3bf5cf703ede6cd6bc6c86de3d1f347b01e8e7a13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03291",
    "kind": "arxiv",
    "version": 1
  }
}