Pith Number

pith:YH54PMRE

pith:2019:YH54PMRE3J2P2OEBODSI36OVZA

not attested not anchored not stored refs pending

Real zeros of random cosine polynomials with palindromic blocks of coefficients

Ali Pirhadi

arxiv:1908.08154 v1 · 2019-08-22 · 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{YH54PMRE3J2P2OEBODSI36OVZA}

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	2026-07-04T23:59:10.100024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1fbc7b224da74fd388170e48df9d5c839ca5a39eb3ba50c6b9eddafed04a65a

Aliases

arxiv: 1908.08154 · arxiv_version: 1908.08154v1 · doi: 10.48550/arxiv.1908.08154 · pith_short_12: YH54PMRE3J2P · pith_short_16: YH54PMRE3J2P2OEB · pith_short_8: YH54PMRE

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/YH54PMRE3J2P2OEBODSI36OVZA \
  | 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: c1fbc7b224da74fd388170e48df9d5c839ca5a39eb3ba50c6b9eddafed04a65a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1bc61ecc412b64e2c80d1fbb73d0a678d3efffb34d92a02e63b652a1f03d5a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-22T00:46:42Z",
    "title_canon_sha256": "1b6de623ca698a0be200c8c3313bbb040ff7de1fed09c6c0336e4bc512f04c6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08154",
    "kind": "arxiv",
    "version": 1
  }
}