Pith Number

pith:XWIQRPNL

pith:2019:XWIQRPNLEKN2BCXHBB3G472X2Z

not attested not anchored not stored refs pending

Discrete Measures and the Extended Riemann Hypothesis

Samuel Estala-Arias

arxiv:1908.03658 v2 · 2019-08-10 · 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{XWIQRPNLEKN2BCXHBB3G472X2Z}

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	2026-07-05T00:01:03.181802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd9108bdab229ba08ae708766e7f57d65075ba00b8a1e2c9c3c60ec7b4ef4078

Aliases

arxiv: 1908.03658 · arxiv_version: 1908.03658v2 · doi: 10.48550/arxiv.1908.03658 · pith_short_12: XWIQRPNLEKN2 · pith_short_16: XWIQRPNLEKN2BCXH · pith_short_8: XWIQRPNL

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/XWIQRPNLEKN2BCXHBB3G472X2Z \
  | 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: bd9108bdab229ba08ae708766e7f57d65075ba00b8a1e2c9c3c60ec7b4ef4078

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "677a2536723bdcd4ccdb6b238408eea6a5be945b005ac4293c3ccca0543776d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-10T00:53:00Z",
    "title_canon_sha256": "27b63a59dba60de6fd207c8a4f68599eb2f0749deca660d24a2b8f41cb80fff8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03658",
    "kind": "arxiv",
    "version": 2
  }
}