Pith Number

pith:HXQMRVLU

pith:2016:HXQMRVLURAQX5N5JAA4I5IRYGD

not attested not anchored not stored refs pending

Zeros of random linear combinations of OPUC with complex Gaussian coefficients

Aaron M. Yeager

arxiv:1608.02805 v2 · 2016-08-09 · math.PR · 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{HXQMRVLURAQX5N5JAA4I5IRYGD}

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	2026-05-18T01:09:30.612386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3de0c8d57488217eb7a900388ea23830f27717ae208f2ecd8926eea9de73f9be

Aliases

arxiv: 1608.02805 · arxiv_version: 1608.02805v2 · doi: 10.48550/arxiv.1608.02805 · pith_short_12: HXQMRVLURAQX · pith_short_16: HXQMRVLURAQX5N5J · pith_short_8: HXQMRVLU

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/HXQMRVLURAQX5N5JAA4I5IRYGD \
  | 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: 3de0c8d57488217eb7a900388ea23830f27717ae208f2ecd8926eea9de73f9be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1c98ce5c028232598472a3ed7ced06fcdc836a043976634a457dbf17e0d634f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-09T14:09:37Z",
    "title_canon_sha256": "9fbd7e63d14c5c607fcda7ac902aa9e6a7ca9c1394815b5595685a89d802cfaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02805",
    "kind": "arxiv",
    "version": 2
  }
}