Pith Number

pith:SP7BVLIW

pith:2015:SP7BVLIWKFPNTF5N752IOFHTBQ

not attested not anchored not stored refs pending

Cable algebras and rings of $G_a$-invariants

Gene Freudenburg, Shigeru Kuroda

arxiv:1508.04732 v1 · 2015-08-19 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SP7BVLIWKFPNTF5N752IOFHTBQ}

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	2026-05-18T00:32:44.923372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93fe1aad16515ed997adff748714f30c077213df15b5b50f06a16d9df742c586

Aliases

arxiv: 1508.04732 · arxiv_version: 1508.04732v1 · doi: 10.48550/arxiv.1508.04732 · pith_short_12: SP7BVLIWKFPN · pith_short_16: SP7BVLIWKFPNTF5N · pith_short_8: SP7BVLIW

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/SP7BVLIWKFPNTF5N752IOFHTBQ \
  | 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: 93fe1aad16515ed997adff748714f30c077213df15b5b50f06a16d9df742c586

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a47c64d5b846dbc252d4479cd55f3364cc05ed17ac1d29b46c3d69a54ccd8010",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-19T18:30:13Z",
    "title_canon_sha256": "e0293514eb3b6f62099f09b7fb395b18c418ff106b7e002ab1b5a41b205f91a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04732",
    "kind": "arxiv",
    "version": 1
  }
}