Pith Number

pith:UZXQB7LX

pith:2017:UZXQB7LXJ36U56G2TZAIMXXNHO

not attested not anchored not stored refs pending

Birational embeddings of the Hermitian, Suzuki and Ree curves with two Galois points

Satoru Fukasawa

arxiv:1707.04004 v1 · 2017-07-13 · 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{UZXQB7LXJ36U56G2TZAIMXXNHO}

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	2026-05-17T23:46:55.711996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a66f00fd774efd4ef8da9e40865eed3b8a781c4f2f3e7ad1ad22be258dc03aeb

Aliases

arxiv: 1707.04004 · arxiv_version: 1707.04004v1 · doi: 10.48550/arxiv.1707.04004 · pith_short_12: UZXQB7LXJ36U · pith_short_16: UZXQB7LXJ36U56G2 · pith_short_8: UZXQB7LX

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/UZXQB7LXJ36U56G2TZAIMXXNHO \
  | 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: a66f00fd774efd4ef8da9e40865eed3b8a781c4f2f3e7ad1ad22be258dc03aeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bac92f13c9eec2916aa546b870cda733617183ea206a36a14ecd42ec4759cd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-13T07:43:03Z",
    "title_canon_sha256": "0bf7a5b3eee118c773aa7e83fd5ced0cfca3a2555f2763612af09c3370fb7015"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04004",
    "kind": "arxiv",
    "version": 1
  }
}