Pith Number

pith:VPQHIJ64

pith:2017:VPQHIJ64N2SVVNWE3C2J5MVYVR

not attested not anchored not stored refs pending

Bounding the number of common zeros of multivariate polynomials and their consecutive derivatives

Olav Geil, Umberto Mart\'inez-Pe\~nas

arxiv:1707.01354 v1 · 2017-07-05 · cs.IT · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPQHIJ64N2SVVNWE3C2J5MVYVR}

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	2026-05-18T00:40:53.013440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe07427dc6ea55ab6c4d8b49eb2b8ac493a7ac563feb58ecae6193565a23535

Aliases

arxiv: 1707.01354 · arxiv_version: 1707.01354v1 · doi: 10.48550/arxiv.1707.01354 · pith_short_12: VPQHIJ64N2SV · pith_short_16: VPQHIJ64N2SVVNWE · pith_short_8: VPQHIJ64

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/VPQHIJ64N2SVVNWE3C2J5MVYVR \
  | 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: abe07427dc6ea55ab6c4d8b49eb2b8ac493a7ac563feb58ecae6193565a23535

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "865fad331cc7b2ab932816c46d128bc3729c9d0a0abd3f08c4aea6abf944fcb8",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-07-05T12:23:58Z",
    "title_canon_sha256": "7c9d9bfb01f0f07ccf1212a7ee34f5874448d5ecd135159900e666efa6a67604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01354",
    "kind": "arxiv",
    "version": 1
  }
}