Pith Number

pith:IO4KZALM

pith:2026:IO4KZALMJP7OLEBWQSBWKFFGKD

not attested not anchored not stored refs pending

Galois self-covers of projective spaces and essential dimensions

De-Qi Zhang, Yujie Luo

arxiv:2606.10207 v1 · 2026-06-08 · 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{IO4KZALMJP7OLEBWQSBWKFFGKD}

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	2026-06-10T01:08:59.569210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43b8ac816c4bfee5903684836514a650ed3c6d7d584cc59320f5d5a71bae59d8

Aliases

arxiv: 2606.10207 · arxiv_version: 2606.10207v1 · doi: 10.48550/arxiv.2606.10207 · pith_short_12: IO4KZALMJP7O · pith_short_16: IO4KZALMJP7OLEBW · pith_short_8: IO4KZALM

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/IO4KZALMJP7OLEBWQSBWKFFGKD \
  | 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: 43b8ac816c4bfee5903684836514a650ed3c6d7d584cc59320f5d5a71bae59d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7652eb00363cad4eeafae114bebe81e0f03e0cc378e3873ddbb1d0b0079e4e66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-08T21:57:01Z",
    "title_canon_sha256": "0ad13f4266e1583d053757352fe89fa8a3830d2245ece486ad12e81c58db3fbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10207",
    "kind": "arxiv",
    "version": 1
  }
}