Pith Number

pith:Z7QWF2KQ

pith:2017:Z7QWF2KQ2WDS6WLICWMOALOOFU

not attested not anchored not stored refs pending

Spinor Groups with Good Reduction

Andrei S. Rapinchuk, Igor A. Rapinchuk, Vladimir I. Chernousov

arxiv:1707.08062 v4 · 2017-07-25 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7QWF2KQ2WDS6WLICWMOALOOFU}

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	2026-05-17T23:51:21.551339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfe162e950d5872f59681598e02dce2d1c7f1d66dd862079ccbbf3a25f1e75bb

Aliases

arxiv: 1707.08062 · arxiv_version: 1707.08062v4 · doi: 10.48550/arxiv.1707.08062 · pith_short_12: Z7QWF2KQ2WDS · pith_short_16: Z7QWF2KQ2WDS6WLI · pith_short_8: Z7QWF2KQ

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/Z7QWF2KQ2WDS6WLICWMOALOOFU \
  | 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: cfe162e950d5872f59681598e02dce2d1c7f1d66dd862079ccbbf3a25f1e75bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9d2c8252d9f843327643bdafbeb31b5bb599265564293ea748adefbc76c65ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-25T16:05:52Z",
    "title_canon_sha256": "5fac9e4639438beecb8acf13518ef5ef707eeb3dc00274b4cb4bcf6ae70fef8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08062",
    "kind": "arxiv",
    "version": 4
  }
}