Pith Number

pith:RLWMUCFT

pith:2011:RLWMUCFTL335STCQD4VQFUQELY

not attested not anchored not stored refs pending

Negative values of the Riemann zeta function on the critical line

J\"orn Steuding, Justas Kalpokas, Maxim A. Korolev

arxiv:1109.2224 v3 · 2011-09-10 · 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{RLWMUCFTL335STCQD4VQFUQELY}

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	2026-05-18T03:02:44.127503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8aecca08b35ef7d94c501f2b02d2045e151ae03f1df68798e9332ca2c369b17d

Aliases

arxiv: 1109.2224 · arxiv_version: 1109.2224v3 · doi: 10.48550/arxiv.1109.2224 · pith_short_12: RLWMUCFTL335 · pith_short_16: RLWMUCFTL335STCQ · pith_short_8: RLWMUCFT

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/RLWMUCFTL335STCQD4VQFUQELY \
  | 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: 8aecca08b35ef7d94c501f2b02d2045e151ae03f1df68798e9332ca2c369b17d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88ae603dc0c572a8c3a7b65e07e545b3d45252d5f9be32cc0a38c3c53d4b0a13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-10T14:00:14Z",
    "title_canon_sha256": "970dc96a58b0070cab7329cb393daf81ad3fa3e0b05456f3230437c6ee42846d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2224",
    "kind": "arxiv",
    "version": 3
  }
}