Pith Number

pith:RYWP3FBC

pith:2026:RYWP3FBCZVEBJKPSKKIJ4Q4C5E

not attested not anchored not stored refs pending

Finite-Degree Probabilistic Zero Certificates for Random Polynomials

Sajad A. Sheikh

arxiv:2606.08951 v1 · 2026-06-08 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYWP3FBCZVEBJKPSKKIJ4Q4C5E}

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	2026-06-09T02:07:49.684669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e2cfd9422cd4814a9f252909e4382e91daffe581a02af4c19b8bc15cce6671b

Aliases

arxiv: 2606.08951 · arxiv_version: 2606.08951v1 · doi: 10.48550/arxiv.2606.08951 · pith_short_12: RYWP3FBCZVEB · pith_short_16: RYWP3FBCZVEBJKPS · pith_short_8: RYWP3FBC

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/RYWP3FBCZVEBJKPSKKIJ4Q4C5E \
  | 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: 8e2cfd9422cd4814a9f252909e4382e91daffe581a02af4c19b8bc15cce6671b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "383569ab2be4ca2827bebb625ea969a712d6d2da4b4bfd711e0b09d56c7390b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-06-08T02:53:46Z",
    "title_canon_sha256": "a8dd564bf8c0f327c7f667b99b38b5b76e9756024882fa5c0fa76829618bd0b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08951",
    "kind": "arxiv",
    "version": 1
  }
}