Pith Number

pith:T6NVMPQN

pith:2017:T6NVMPQN3MX6KWENG7MD6A4WLA

not attested not anchored not stored refs pending

Quadratic homogeneous polynomial maps $H$ and Keller maps $x+H$ with $3 \le {\rm rk} J H \le 4$

Michiel de Bondt

arxiv:1711.00904 v1 · 2017-11-02 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T6NVMPQN3MX6KWENG7MD6A4WLA}

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	2026-05-18T00:31:24.549149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f9b563e0ddb2fe5588d37d83f03965807e92dde091df2d18e685e24a28e281d

Aliases

arxiv: 1711.00904 · arxiv_version: 1711.00904v1 · doi: 10.48550/arxiv.1711.00904 · pith_short_12: T6NVMPQN3MX6 · pith_short_16: T6NVMPQN3MX6KWEN · pith_short_8: T6NVMPQN

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/T6NVMPQN3MX6KWENG7MD6A4WLA \
  | 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: 9f9b563e0ddb2fe5588d37d83f03965807e92dde091df2d18e685e24a28e281d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f520aacdc6a7d9a219380d46488bb5c01ab095f1d4e4ea60e4a37a962b956c3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-11-02T19:45:41Z",
    "title_canon_sha256": "2875be9bb6237ead2b2ae32d1cb85fded1ba751000333d32009837af40953afd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00904",
    "kind": "arxiv",
    "version": 1
  }
}