Pith Number

pith:QQINXZQS

pith:2016:QQINXZQS32R4N37N25HKCS2AWL

not attested not anchored not stored refs pending

Generalized Kuga-Satake theory and good reduction properties of Galois representations

Stefan Patrikis

arxiv:1604.05821 v1 · 2016-04-20 · 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{QQINXZQS32R4N37N25HKCS2AWL}

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	2026-05-18T00:20:59.585368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8410dbe612dea3c6efedd74ea14b40b2de59a26489c6628ed508de4169697348

Aliases

arxiv: 1604.05821 · arxiv_version: 1604.05821v1 · doi: 10.48550/arxiv.1604.05821 · pith_short_12: QQINXZQS32R4 · pith_short_16: QQINXZQS32R4N37N · pith_short_8: QQINXZQS

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/QQINXZQS32R4N37N25HKCS2AWL \
  | 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: 8410dbe612dea3c6efedd74ea14b40b2de59a26489c6628ed508de4169697348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a5db8c1e7b8bbefd5c43e71b40c343f8eb9b0f51fa049d878f7fb66f6eeaf2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-20T05:24:06Z",
    "title_canon_sha256": "483da9fb578488ce6214d6ad7bee6ef17f73f94db9f7c1305f9c6f3f7cdb7ec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05821",
    "kind": "arxiv",
    "version": 1
  }
}