Pith Number

pith:2WYPJCPM

pith:2013:2WYPJCPMNMY2I7Z4N5KKELRY77

not attested not anchored not stored refs pending

A refinement of the Hodge stratification for connected reductive groups

Stephan Neupert

arxiv:1307.4919 v1 · 2013-07-18 · 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{2WYPJCPMNMY2I7Z4N5KKELRY77}

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	2026-05-18T03:18:07.214179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5b0f489ec6b31a47f3c6f54a22e38ffc53604c9b1a023ba88ee87415886cdd0

Aliases

arxiv: 1307.4919 · arxiv_version: 1307.4919v1 · doi: 10.48550/arxiv.1307.4919 · pith_short_12: 2WYPJCPMNMY2 · pith_short_16: 2WYPJCPMNMY2I7Z4 · pith_short_8: 2WYPJCPM

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/2WYPJCPMNMY2I7Z4N5KKELRY77 \
  | 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: d5b0f489ec6b31a47f3c6f54a22e38ffc53604c9b1a023ba88ee87415886cdd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f035b9a229240e02a382d5924b9e4ffa3f5ea95d90df6cf33402bd4fa7644aa4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-18T12:21:23Z",
    "title_canon_sha256": "bd7c6b52fc0b82d3caed5309d52efd3b30cea96591f83b001114f8324b52eb9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4919",
    "kind": "arxiv",
    "version": 1
  }
}