Pith Number

pith:PK5VU332

pith:2011:PK5VU332BN7RUHFKSC6POWVB7B

not attested not anchored not stored refs pending

Randomization, Sums of Squares, and Faster Real Root Counting for Tetranomials and Beyond

Christopher J. Hillar, Dimitar Popov, J. Maurice Rojas, Osbert Bastani

arxiv:1101.2642 v1 · 2011-01-13 · math.AG · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PK5VU332BN7RUHFKSC6POWVB7B}

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	2026-05-18T03:14:30.641140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7abb5a6f7a0b7f1a1caa90bcf75aa1f86f8312da3479d52add7cc36e197ad6cb

Aliases

arxiv: 1101.2642 · arxiv_version: 1101.2642v1 · doi: 10.48550/arxiv.1101.2642 · pith_short_12: PK5VU332BN7R · pith_short_16: PK5VU332BN7RUHFK · pith_short_8: PK5VU332

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/PK5VU332BN7RUHFKSC6POWVB7B \
  | 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: 7abb5a6f7a0b7f1a1caa90bcf75aa1f86f8312da3479d52add7cc36e197ad6cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bd68895303c5f9cdef4a4329fe6f3038ff243ee729c30fcd6ab076dc3dd9df0",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-13T19:44:50Z",
    "title_canon_sha256": "a0bed28ba2f2bf6d683f169809d4ecdaac12e156bc1b0b2425b43f38a0f12d03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2642",
    "kind": "arxiv",
    "version": 1
  }
}