Pith Number

pith:QJMGWKYJ

pith:2026:QJMGWKYJ7D5HZZH7NAMR4EH53S

not attested not anchored not stored refs pending

Graded Keller maps and the Jacobian Conjecture

T. Shaska

arxiv:2607.20210 v1 · 2026-07-22 · 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{QJMGWKYJ7D5HZZH7NAMR4EH53S}

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	2026-07-23T01:25:07.910378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82586b2b09f8fa7ce4ff68191e10fddc90c8d3d929699f33f827fb3234eb6fb6

Aliases

arxiv: 2607.20210 · arxiv_version: 2607.20210v1 · doi: 10.48550/arxiv.2607.20210 · pith_short_12: QJMGWKYJ7D5H · pith_short_16: QJMGWKYJ7D5HZZH7 · pith_short_8: QJMGWKYJ

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/QJMGWKYJ7D5HZZH7NAMR4EH53S \
  | 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: 82586b2b09f8fa7ce4ff68191e10fddc90c8d3d929699f33f827fb3234eb6fb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b552f5835a92f83a9aef585b6304b471a9cdf97ab559e1cd16f575262ad16e1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-22T14:30:28Z",
    "title_canon_sha256": "ac288d3bdc958d4c70f3420a7c09d8ebad5786f1b5947e21b57d43d9ff45c48a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20210",
    "kind": "arxiv",
    "version": 1
  }
}