Pith Number

pith:SJM3ZEPA

pith:2018:SJM3ZEPAJ22HO3GGM6EE6URTWO

not attested not anchored not stored refs pending

Approximating real-rooted and stable polynomials, with combinatorial applications

Alexander Barvinok

arxiv:1806.07404 v1 · 2018-06-19 · math.CO · cs.DS · 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{SJM3ZEPAJ22HO3GGM6EE6URTWO}

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.

Cited by

1 paper in Pith

A rigorous quasipolynomial-time classical algorithm for SYK thermal expectations

Receipt and verification

First computed	2026-05-18T00:12:47.843270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9259bc91e04eb4776cc667884f5233b3ba67426a6a95c59a9aec8b06974e35df

Aliases

arxiv: 1806.07404 · arxiv_version: 1806.07404v1 · doi: 10.48550/arxiv.1806.07404 · pith_short_12: SJM3ZEPAJ22H · pith_short_16: SJM3ZEPAJ22HO3GG · pith_short_8: SJM3ZEPA

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/SJM3ZEPAJ22HO3GGM6EE6URTWO \
  | 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: 9259bc91e04eb4776cc667884f5233b3ba67426a6a95c59a9aec8b06974e35df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "841fabfe355aa0902eb1663069f2f212afd5175003f80ac5e98dbb9fe3444cad",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-19T18:01:23Z",
    "title_canon_sha256": "d94a0eb1e1e96e3f0dd430e09798eb52c463541ccdb317961dba76c46c9ff75d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07404",
    "kind": "arxiv",
    "version": 1
  }
}