Pith Number

pith:RV4GY2BJ

pith:2011:RV4GY2BJLQNA2XRXRW3DNAVDJ7

not attested not anchored not stored refs pending

Evaluation of Riemann Zeta function on the Line $\Re(s) = 1$ and Odd Arguments

Srinivasan Arunachalam

arxiv:1109.6335 v2 · 2011-09-27 · math.NT · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RV4GY2BJLQNA2XRXRW3DNAVDJ7}

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	2026-05-18T02:21:36.175575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d786c68295c1a0d5e378db63682a34fcb4e2741e332e14cbd7980a416f3af9e

Aliases

arxiv: 1109.6335 · arxiv_version: 1109.6335v2 · doi: 10.48550/arxiv.1109.6335 · pith_short_12: RV4GY2BJLQNA · pith_short_16: RV4GY2BJLQNA2XRX · pith_short_8: RV4GY2BJ

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/RV4GY2BJLQNA2XRXRW3DNAVDJ7 \
  | 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: 8d786c68295c1a0d5e378db63682a34fcb4e2741e332e14cbd7980a416f3af9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b510fe3beed70db331338c94e2bf25f50a3d28b7d09a8fc8414c84e7ce901813",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-27T19:24:47Z",
    "title_canon_sha256": "22d006a3cf7e98226d75b6cea9fc91e1f9ec35f0f9f2f99d4b28af26e92c37c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6335",
    "kind": "arxiv",
    "version": 2
  }
}