Pith Number

pith:Z4ZJKG5W

pith:2006:Z4ZJKG5WOQ4DCOINUB6KORYBWM

not attested not anchored not stored refs pending

Polynomials, roots, and interlacing

Steve Fisk

arxiv:math/0612833 v2 · 2006-12-28 · 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{Z4ZJKG5WOQ4DCOINUB6KORYBWM}

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

2 papers in Pith

Total positivity of transformation matrices for uniform subdivisions

Separating zeros of polynomials using an added interlacing point

Receipt and verification

First computed	2026-07-04T15:10:08.851538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf32951bb6743831390da07ca74701b31000256f52594dd3449a898458684b87

Aliases

arxiv: math/0612833 · arxiv_version: math/0612833v2 · doi: 10.48550/arxiv.math/0612833 · pith_short_12: Z4ZJKG5WOQ4D · pith_short_16: Z4ZJKG5WOQ4DCOIN · pith_short_8: Z4ZJKG5W

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/Z4ZJKG5WOQ4DCOINUB6KORYBWM \
  | 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: cf32951bb6743831390da07ca74701b31000256f52594dd3449a898458684b87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d6238f30c52e9cd88cdbcb11bea9c1ad234b2e4e60e8fb38f26472e59cf30a8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2006-12-28T16:51:23Z",
    "title_canon_sha256": "d5db4dc6d4ae6d49212d148e64a5a27bf4d26aa58c09a81541b24df624edeaa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612833",
    "kind": "arxiv",
    "version": 2
  }
}