Pith Number

pith:N7KYYYUC

pith:2019:N7KYYYUCT23FEPFLVDD4JNFV3F

not attested not anchored not stored refs pending

Orthogonal polynomial expansions for the Riemann xi function

Dan Romik

arxiv:1902.06330 v3 · 2019-02-17 · 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{N7KYYYUCT23FEPFLVDD4JNFV3F}

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	2026-05-17T23:47:01.835930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fd58c62829eb6523caba8c7c4b4b5d976cd3db712922e7a1edbe20ac65d18f9

Aliases

arxiv: 1902.06330 · arxiv_version: 1902.06330v3 · doi: 10.48550/arxiv.1902.06330 · pith_short_12: N7KYYYUCT23F · pith_short_16: N7KYYYUCT23FEPFL · pith_short_8: N7KYYYUC

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/N7KYYYUCT23FEPFLVDD4JNFV3F \
  | 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: 6fd58c62829eb6523caba8c7c4b4b5d976cd3db712922e7a1edbe20ac65d18f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81b9e24ff2cc8cf17f154a6847e4bb648499315a42d77627b9efe114ba1e47e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-02-17T21:32:48Z",
    "title_canon_sha256": "005fc9f2575cf9c4f1e51e41cf2d6e7c694d8ebef44ab3d268738e29f39da70d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06330",
    "kind": "arxiv",
    "version": 3
  }
}