Pith Number

pith:YYQVYHP6

pith:2015:YYQVYHP6K5WMPJRO2G6EJ66UBY

not attested not anchored not stored refs pending

The Schwartz space of a smooth semi-algebraic stack

Yiannis Sakellaridis

arxiv:1505.02169 v4 · 2015-05-08 · math.AG · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYQVYHP6K5WMPJRO2G6EJ66UBY}

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	2026-05-18T00:16:15.000214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6215c1dfe576cc7a62ed1bc44fbd40e0acb5d2aa33f2ec39aed448e9c16c626

Aliases

arxiv: 1505.02169 · arxiv_version: 1505.02169v4 · doi: 10.48550/arxiv.1505.02169 · pith_short_12: YYQVYHP6K5WM · pith_short_16: YYQVYHP6K5WMPJRO · pith_short_8: YYQVYHP6

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/YYQVYHP6K5WMPJRO2G6EJ66UBY \
  | 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: c6215c1dfe576cc7a62ed1bc44fbd40e0acb5d2aa33f2ec39aed448e9c16c626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a2bcb6c576e98562153b4423de3391d079d578c4f26e28dce3bd8cc68bc8665",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-08T20:24:43Z",
    "title_canon_sha256": "3b5437aaeb08902d3858696b0b2ea7088a42d22dee723ff187e1444052a617bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02169",
    "kind": "arxiv",
    "version": 4
  }
}