Pith Number

pith:HCKEGURL

pith:2018:HCKEGURLG7M76XHNB6AMEU7D2U

not attested not anchored not stored refs pending

Quadratic homogeneous polynomial maps $H$ and Keller maps $x+H$ with $rk JH=3$

Michiel de Bondt, Xiaosong Sun

arxiv:1804.09033 v1 · 2018-04-21 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCKEGURLG7M76XHNB6AMEU7D2U}

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	2026-05-18T00:17:36.534147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

389443522b37d9ff5ced0f80c253e3d5232bdf695ed2839ae229b34052f0866e

Aliases

arxiv: 1804.09033 · arxiv_version: 1804.09033v1 · doi: 10.48550/arxiv.1804.09033 · pith_short_12: HCKEGURLG7M7 · pith_short_16: HCKEGURLG7M76XHN · pith_short_8: HCKEGURL

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/HCKEGURLG7M76XHNB6AMEU7D2U \
  | 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: 389443522b37d9ff5ced0f80c253e3d5232bdf695ed2839ae229b34052f0866e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75550272f48e03ce0786c533f969fc984d09f1552cbdac83ad90967d78a9b67a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-04-21T14:23:40Z",
    "title_canon_sha256": "d0dd0ba5d71c67f944bc755da8e6a7011e2bcd9a76073d84e62f440ef741bbfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09033",
    "kind": "arxiv",
    "version": 1
  }
}