Pith Number

pith:IRDU4SRR

pith:2018:IRDU4SRRW4ZHMIBP4XOKMMRTES

not attested not anchored not stored refs pending

Distances between zeroes and critical points for random polynomials with i.i.d. zeroes

Hauke Seidel, Zakhar Kabluchko

arxiv:1807.02140 v1 · 2018-07-05 · 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{IRDU4SRRW4ZHMIBP4XOKMMRTES}

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	2026-05-18T00:11:22.999278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44474e4a31b73276202fe5dca63233249c87e9d0d0c241c0d56d750453f68c47

Aliases

arxiv: 1807.02140 · arxiv_version: 1807.02140v1 · doi: 10.48550/arxiv.1807.02140 · pith_short_12: IRDU4SRRW4ZH · pith_short_16: IRDU4SRRW4ZHMIBP · pith_short_8: IRDU4SRR

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/IRDU4SRRW4ZHMIBP4XOKMMRTES \
  | 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: 44474e4a31b73276202fe5dca63233249c87e9d0d0c241c0d56d750453f68c47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ee31036d2b977aa3088cab5c6e82cd771621c94d53dffd8db03c229c8259877",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-05T18:34:09Z",
    "title_canon_sha256": "f04b45229af55e55448321386d4c88e28097c57862d8756b05e178e0f5a3a3b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02140",
    "kind": "arxiv",
    "version": 1
  }
}