Pith Number

pith:XMD2W2ND

pith:2009:XMD2W2NDE53TANQRXF3ADKU7A4

not attested not anchored not stored refs pending

Structured matrices, continued fractions, and root localization of polynomials

Mikhail Tyaglov, Olga Holtz

arxiv:0912.4703 v3 · 2009-12-23 · math.CA · math.CV · math.HO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMD2W2NDE53TANQRXF3ADKU7A4}

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	2026-05-18T03:51:47.475913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb07ab69a32777303611b97601aa9f073299d7ebe325da02d115cddba2e5d7cd

Aliases

arxiv: 0912.4703 · arxiv_version: 0912.4703v3 · doi: 10.48550/arxiv.0912.4703 · pith_short_12: XMD2W2NDE53T · pith_short_16: XMD2W2NDE53TANQR · pith_short_8: XMD2W2ND

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/XMD2W2NDE53TANQRXF3ADKU7A4 \
  | 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: bb07ab69a32777303611b97601aa9f073299d7ebe325da02d115cddba2e5d7cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afdc6e563bfdb720a6bddc507e893eaff2fd98ae8a68200d20a7ccadd1a78995",
    "cross_cats_sorted": [
      "math.CV",
      "math.HO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-12-23T18:23:43Z",
    "title_canon_sha256": "a315b14eca584dd3dafcc0d7781e67a93adaee427896d66d171783717f446adb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4703",
    "kind": "arxiv",
    "version": 3
  }
}