Pith Number

pith:YLW566R5

pith:2000:YLW566R57GN46YMVB225HA26U6

not attested not anchored not stored refs pending

Random polynomials having few or no real zeros

Amir Dembo, Bjorn Poonen, Ofer Zeitouni, Qi-Man Shao

arxiv:math/0006113 v1 · 2000-06-16 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YLW566R57GN46YMVB225HA26U6}

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	2026-05-18T00:47:32.059347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2eddf7a3df99bcf61950eb5d3835ea799a450bb6e9e575c40ac84a2109cee82

Aliases

arxiv: math/0006113 · arxiv_version: math/0006113v1 · doi: 10.48550/arxiv.math/0006113 · pith_short_12: YLW566R57GN4 · pith_short_16: YLW566R57GN46YMV · pith_short_8: YLW566R5

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/YLW566R57GN46YMVB225HA26U6 \
  | 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: c2eddf7a3df99bcf61950eb5d3835ea799a450bb6e9e575c40ac84a2109cee82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f632ef1e7ef1e18e16c99b16e66f30d1ffeb6a4f78117b52b195101c2a28e3fe",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2000-06-16T00:33:55Z",
    "title_canon_sha256": "ed0cb48c5ff50a896e76befed901c08d170dabfa03a12d3153d9e95e847a81e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0006113",
    "kind": "arxiv",
    "version": 1
  }
}