Pith Number

pith:5B2NST3E

pith:2010:5B2NST3EMQLTDHBPOTSQS2U2TY

not attested not anchored not stored refs pending

Borcea's variance conjectures on the critical points of polynomials

Dmitry Khavinson, Edward B. Saff, Mihai Putinar, Rajesh Pereira, Serguei Shimorin

arxiv:1010.5167 v2 · 2010-10-25 · 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{5B2NST3EMQLTDHBPOTSQS2U2TY}

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	2026-05-18T02:23:38.657360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e874d94f646417319c2f74e5096a9a9e31e006b971ae461926d8a3258477dc78

Aliases

arxiv: 1010.5167 · arxiv_version: 1010.5167v2 · doi: 10.48550/arxiv.1010.5167 · pith_short_12: 5B2NST3EMQLT · pith_short_16: 5B2NST3EMQLTDHBP · pith_short_8: 5B2NST3E

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/5B2NST3EMQLTDHBPOTSQS2U2TY \
  | 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: e874d94f646417319c2f74e5096a9a9e31e006b971ae461926d8a3258477dc78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06a3129105296919146033f1140b3ba82802de445e6c8eacf9c2dbcc87c665e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-10-25T15:33:15Z",
    "title_canon_sha256": "c65a820a6a0d6943cdcf8a118ace7301b56ec1202aea235e423109d4d445acb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5167",
    "kind": "arxiv",
    "version": 2
  }
}