Pith Number

pith:46EHVAIW

pith:2019:46EHVAIWV6WYJVVKZVDST6WZPW

not attested not anchored not stored refs pending

On properties of the Taylor series coefficients of the Riemann xi function at $s=\frac{1}{2}$

Mario DeFranco

arxiv:1907.08984 v1 · 2019-07-21 · 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{46EHVAIWV6WYJVVKZVDST6WZPW}

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	2026-05-17T23:40:02.496047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7887a8116afad84d6aacd4729fad97d81843239a215fae4226be4fcc59108a3

Aliases

arxiv: 1907.08984 · arxiv_version: 1907.08984v1 · doi: 10.48550/arxiv.1907.08984 · pith_short_12: 46EHVAIWV6WY · pith_short_16: 46EHVAIWV6WYJVVK · pith_short_8: 46EHVAIW

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/46EHVAIWV6WYJVVKZVDST6WZPW \
  | 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: e7887a8116afad84d6aacd4729fad97d81843239a215fae4226be4fcc59108a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "645917ec4230e684f54743fb76757f8b455743f740fb9a470ceff3efbd9f6790",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-21T14:40:56Z",
    "title_canon_sha256": "94a1a4ad11c98f430fe83d7ecf2bc89c3676fe5e414a6ee43bc39d1624202a1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08984",
    "kind": "arxiv",
    "version": 1
  }
}