Pith Number

pith:MCZUB2FM

pith:2008:MCZUB2FMZVMFG7PTKPVKH3XTTS

not attested not anchored not stored refs pending

The Lee-Yang and P\'olya-Schur Programs. II. Theory of Stable Polynomials and Applications

Julius Borcea, Petter Br\"and\'en

arxiv:0809.3087 v1 · 2008-09-18 · math.CV · cond-mat.stat-mech · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCZUB2FMZVMFG7PTKPVKH3XTTS}

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	2026-05-18T03:57:50.983684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60b340e8accd58537df353eaa3eef39ca2a02f548582bf68e15ba049f2421553

Aliases

arxiv: 0809.3087 · arxiv_version: 0809.3087v1 · doi: 10.48550/arxiv.0809.3087 · pith_short_12: MCZUB2FMZVMF · pith_short_16: MCZUB2FMZVMFG7PT · pith_short_8: MCZUB2FM

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/MCZUB2FMZVMFG7PTKPVKH3XTTS \
  | 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: 60b340e8accd58537df353eaa3eef39ca2a02f548582bf68e15ba049f2421553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ba7e78636f0b0393a2df77a3af3e0ceb58a28e8e230c9c3b6cb16514730bc69",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2008-09-18T07:26:40Z",
    "title_canon_sha256": "d18d9ad73813413aada18864e48dcbd7d2fd3d628f24d811e8dd3a4f5c1a1e3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3087",
    "kind": "arxiv",
    "version": 1
  }
}