Pith Number

pith:FZBEFXBN

pith:2021:FZBEFXBNLAEDH254M2YVZLVXKC

not attested not anchored not stored refs pending

Dirichlet Series Under Standard Convolutions: Variations on Ramanujan's Identity for Odd Zeta Values

Christophe Vignat, Parth Chavan, Sarth Chavan, Tanay Wakhare

arxiv:2107.06457 v3 · 2021-07-14 · 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{FZBEFXBNLAEDH254M2YVZLVXKC}

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	2026-07-05T03:53:48.410660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e4242dc2d580833ebbc66b15caeb750bb0b8b2f3461513ccffc8d79768ef540

Aliases

arxiv: 2107.06457 · arxiv_version: 2107.06457v3 · doi: 10.48550/arxiv.2107.06457 · pith_short_12: FZBEFXBNLAED · pith_short_16: FZBEFXBNLAEDH254 · pith_short_8: FZBEFXBN

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/FZBEFXBNLAEDH254M2YVZLVXKC \
  | 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: 2e4242dc2d580833ebbc66b15caeb750bb0b8b2f3461513ccffc8d79768ef540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fdde994525e871ebd14fc13572eea4ebe727aff2c7b15769b4a19049b463c0f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-07-14T02:42:12Z",
    "title_canon_sha256": "f2ea2f8d29e5494048f2e568ea21e7f1081f4ef0cba60f6ee2047ca180704e7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.06457",
    "kind": "arxiv",
    "version": 3
  }
}