Pith Number

pith:RZGCLW74

pith:2008:RZGCLW74UP7KUT2WQ7BVYKMGGW

not attested not anchored not stored refs pending

Bergman polynomials on an Archipelago: Estimates, Zeros and Shape Reconstruction

Bjorn Gustafsson, Ed Saff, Mihai Putinar, Nikos Stylianopoulos

arxiv:0811.1715 v1 · 2008-11-11 · math.CV · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZGCLW74UP7KUT2WQ7BVYKMGGW}

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	2026-06-03T23:06:08.688539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e4c25dbfca3feaa4f5687c35c298635979d9b503236fbbb0d1791c89a0aef29

Aliases

arxiv: 0811.1715 · arxiv_version: 0811.1715v1 · doi: 10.48550/arxiv.0811.1715 · pith_short_12: RZGCLW74UP7K · pith_short_16: RZGCLW74UP7KUT2W · pith_short_8: RZGCLW74

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/RZGCLW74UP7KUT2WQ7BVYKMGGW \
  | 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: 8e4c25dbfca3feaa4f5687c35c298635979d9b503236fbbb0d1791c89a0aef29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44635fc05ac23effb46081a8885e5aa88e078e51e6798a710658e6becf63bf6a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2008-11-11T14:34:17Z",
    "title_canon_sha256": "185f11bfa831e0719a9dee43bd10a15861d580a76811e587b874dae011b9a1ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1715",
    "kind": "arxiv",
    "version": 1
  }
}