Pith Number

pith:GGG6M7WR

pith:2019:GGG6M7WRTVBKSVYT54XWYIOAKD

not attested not anchored not stored refs pending

Quasi-cyclic modules and coregular sequences

Claudia Polini, Robin Hartshorne

arxiv:1907.05472 v1 · 2019-07-11 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGG6M7WRTVBKSVYT54XWYIOAKD}

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	2026-05-17T23:40:48.303634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

318de67ed19d42a95713ef2f6c21c050d7e6e445888c373386e2c7aac9bbb5f4

Aliases

arxiv: 1907.05472 · arxiv_version: 1907.05472v1 · doi: 10.48550/arxiv.1907.05472 · pith_short_12: GGG6M7WRTVBK · pith_short_16: GGG6M7WRTVBKSVYT · pith_short_8: GGG6M7WR

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/GGG6M7WRTVBKSVYT54XWYIOAKD \
  | 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: 318de67ed19d42a95713ef2f6c21c050d7e6e445888c373386e2c7aac9bbb5f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4195bf3b8f9831041dc6f22891d61f9a742fc09abf1c506977b41b6469c5cd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-07-11T20:09:28Z",
    "title_canon_sha256": "1ccd415a2ca0188b8fb85b4f85920d7a167f1e8a2b8d186db98c1b5fa47fce67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05472",
    "kind": "arxiv",
    "version": 1
  }
}