Pith Number

pith:M7RZ5WPN

pith:2014:M7RZ5WPN5HAFARIC3Q7QBZNZYM

not attested not anchored not stored refs pending

A rationality result for the exterior and the symmetric square $L$-function

Harald Grobner

arxiv:1412.8082 v1 · 2014-12-27 · 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{M7RZ5WPN5HAFARIC3Q7QBZNZYM}

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	2026-05-18T02:30:24.209050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67e39ed9ede9c0504502dc3f00e5b9c33a616ecebe4d781edba01f094466340f

Aliases

arxiv: 1412.8082 · arxiv_version: 1412.8082v1 · doi: 10.48550/arxiv.1412.8082 · pith_short_12: M7RZ5WPN5HAF · pith_short_16: M7RZ5WPN5HAFARIC · pith_short_8: M7RZ5WPN

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/M7RZ5WPN5HAFARIC3Q7QBZNZYM \
  | 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: 67e39ed9ede9c0504502dc3f00e5b9c33a616ecebe4d781edba01f094466340f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5810303962073d718cb5a76afd0bab587c62c37b8ddfcf9f7539b252e400f4a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-27T21:49:27Z",
    "title_canon_sha256": "c5a7fd6a8ca0f64f50a64cf5f2a9bda4db7850df393c4b4745d9561c25da0390"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8082",
    "kind": "arxiv",
    "version": 1
  }
}