Pith Number

pith:UDEFBDTF

pith:2012:UDEFBDTF2NPHCPEEWDM54DEBA3

not attested not anchored not stored refs pending

Horizontal Monotonicity of the Modulus of the Riemann Zeta Function and Related Functions

Filip Saidak, Peter Zvengrowski, Yuri Matiyasevich

arxiv:1205.2773 v1 · 2012-05-12 · math.NT · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UDEFBDTF2NPHCPEEWDM54DEBA3}

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	2026-07-05T03:25:08.109906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0c8508e65d35e713c84b0d9de0c8106ec06fe74bf91bc4345cad780521e5820

Aliases

arxiv: 1205.2773 · arxiv_version: 1205.2773v1 · doi: 10.48550/arxiv.1205.2773 · pith_short_12: UDEFBDTF2NPH · pith_short_16: UDEFBDTF2NPHCPEE · pith_short_8: UDEFBDTF

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/UDEFBDTF2NPHCPEEWDM54DEBA3 \
  | 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: a0c8508e65d35e713c84b0d9de0c8106ec06fe74bf91bc4345cad780521e5820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca437252945c875dc943b3fb95f9b946ecd5cf404b7385b08703cf8953b7804e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-12T12:19:13Z",
    "title_canon_sha256": "572b45b636fed1ffd88acb88b7b444d265788aae5a93ea471434f78ecd63924d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2773",
    "kind": "arxiv",
    "version": 1
  }
}