Pith Number

pith:N4RHZ2BK

pith:2005:N4RHZ2BKIGTUZQBVNA6463ZW6Z

not attested not anchored not stored refs pending

Electrostatic models for zeros of polynomials: old, new, and some open problems

A. Martinez-Finkelshtein, F. Marcellan, P. Martinez-Gonzalez

arxiv:math/0512293 v1 · 2005-12-13 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4RHZ2BKIGTUZQBVNA6463ZW6Z}

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	2026-07-04T14:52:14.751345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f227ce82a41a74cc035683dcf6f36f64a7ee0f48d27ecdc4df57a48f6e12246

Aliases

arxiv: math/0512293 · arxiv_version: math/0512293v1 · doi: 10.48550/arxiv.math/0512293 · pith_short_12: N4RHZ2BKIGTU · pith_short_16: N4RHZ2BKIGTUZQBV · pith_short_8: N4RHZ2BK

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/N4RHZ2BKIGTUZQBVNA6463ZW6Z \
  | 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: 6f227ce82a41a74cc035683dcf6f36f64a7ee0f48d27ecdc4df57a48f6e12246

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dc607601f117ede1f07c0c8a1ce991ea01b378bdc2ae14787162c6fab232f5c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2005-12-13T23:50:37Z",
    "title_canon_sha256": "5de7f61bdb6345d1f0328e027b2ce2d1941f70256fe325ff800df52d6d055450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512293",
    "kind": "arxiv",
    "version": 1
  }
}