Pith Number

pith:2UZUMRTA

pith:2023:2UZUMRTA6V5C4SQZMS5A52AWHO

not attested not anchored not stored refs pending

A Dirichlet character analogue of Ramanujan's formula for odd zeta values

Anushree Gupta, Bibekananda Maji, Md Kashif Jamal, Nilmoni Karak

arxiv:2308.08988 v2 · 2023-08-17 · 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{2UZUMRTA6V5C4SQZMS5A52AWHO}

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	2026-07-05T06:55:24.667520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d533464660f57a2e4a1964ba0ee8163ba5d215f4ae0b1b62ae68569208370fea

Aliases

arxiv: 2308.08988 · arxiv_version: 2308.08988v2 · doi: 10.48550/arxiv.2308.08988 · pith_short_12: 2UZUMRTA6V5C · pith_short_16: 2UZUMRTA6V5C4SQZ · pith_short_8: 2UZUMRTA

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/2UZUMRTA6V5C4SQZMS5A52AWHO \
  | 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: d533464660f57a2e4a1964ba0ee8163ba5d215f4ae0b1b62ae68569208370fea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a874ffde41fe5121b965fcf2f2b4fd11001051e568f39995edfa672bc622df35",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-08-17T13:49:37Z",
    "title_canon_sha256": "f6752de8fd773a9a332d978a1856114fc0edd4fd87ce79d1fabc97343df30921"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.08988",
    "kind": "arxiv",
    "version": 2
  }
}