Pith Number

pith:HVXTPGOG

pith:2016:HVXTPGOG3SP57SQRNYLXNNZEDE

not attested not anchored not stored refs pending

Zeros of random linear combinations of entire functions with complex Gaussian coefficients

Aaron Yeager

arxiv:1605.06836 v3 · 2016-05-22 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HVXTPGOG3SP57SQRNYLXNNZEDE}

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	2026-05-18T01:09:45.251973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d6f3799c6dc9fdfca116e1776b72419047def635c9af836275b21ba1dc061e3

Aliases

arxiv: 1605.06836 · arxiv_version: 1605.06836v3 · doi: 10.48550/arxiv.1605.06836 · pith_short_12: HVXTPGOG3SP5 · pith_short_16: HVXTPGOG3SP57SQR · pith_short_8: HVXTPGOG

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/HVXTPGOG3SP57SQRNYLXNNZEDE \
  | 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: 3d6f3799c6dc9fdfca116e1776b72419047def635c9af836275b21ba1dc061e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "338daf21ca44ef0a4075c0a26fdca90e6ae0845cfead1246bc48989ee96ef59a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-22T19:01:22Z",
    "title_canon_sha256": "19b6aec4823bf31bfdd76f065ca1564dacf344ad65954f3f2634eb84cb491f6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06836",
    "kind": "arxiv",
    "version": 3
  }
}