Pith Number

pith:TGFZUB4H

pith:2012:TGFZUB4HS27G7VWSN34PA4R26V

not attested not anchored not stored refs pending

Critical points of random polynomials with independent identically distributed roots

Zakhar Kabluchko

arxiv:1206.6692 v2 · 2012-06-28 · 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{TGFZUB4HS27G7VWSN34PA4R26V}

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	2026-05-18T03:44:23.898068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

998b9a078796be6fd6d26ef8f0723af56a1efe2ac653a76f1a9376c22c4c66e9

Aliases

arxiv: 1206.6692 · arxiv_version: 1206.6692v2 · doi: 10.48550/arxiv.1206.6692 · pith_short_12: TGFZUB4HS27G · pith_short_16: TGFZUB4HS27G7VWS · pith_short_8: TGFZUB4H

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/TGFZUB4HS27G7VWSN34PA4R26V \
  | 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: 998b9a078796be6fd6d26ef8f0723af56a1efe2ac653a76f1a9376c22c4c66e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bc23114aff819bb2a615d959fa85277edcc7d8528892a0afb798da3354386ec",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-28T13:51:15Z",
    "title_canon_sha256": "4ad57b86dfe257436558282f5390688340f8010f6c3952b3bbb77ddae004c2f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6692",
    "kind": "arxiv",
    "version": 2
  }
}