Pith Number

pith:P3TYZLB7

pith:2008:P3TYZLB7DL2M36LQU5CBP7ZG6F

not attested not anchored not stored refs pending

The Lee-Yang and P\'olya-Schur Programs. I. Linear Operators Preserving Stability

Julius Borcea, Petter Br\"and\'en

arxiv:0809.0401 v3 · 2008-09-02 · 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{P3TYZLB7DL2M36LQU5CBP7ZG6F}

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	2026-05-18T03:57:50.995286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ee78cac3f1af4cdf970a74417ff26f16ae27f01423b93219ecc6d80400ff148

Aliases

arxiv: 0809.0401 · arxiv_version: 0809.0401v3 · doi: 10.48550/arxiv.0809.0401 · pith_short_12: P3TYZLB7DL2M · pith_short_16: P3TYZLB7DL2M36LQ · pith_short_8: P3TYZLB7

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/P3TYZLB7DL2M36LQU5CBP7ZG6F \
  | 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: 7ee78cac3f1af4cdf970a74417ff26f16ae27f01423b93219ecc6d80400ff148

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc2a96788307fcd64a56e9b4de766a8e654b212d0f29772c7678a2ccf573e493",
    "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": "2008-09-02T11:05:18Z",
    "title_canon_sha256": "c44590af38ecb8c669132d6fa8b7b9cadd09dc86ce11ddd415d34a7ce5fda77f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0401",
    "kind": "arxiv",
    "version": 3
  }
}