Pith Number

pith:GMN4ZZSG

pith:2019:GMN4ZZSGVFFAM4VQJT6NAFVOVZ

not attested not anchored not stored refs pending

Almost normally torsionfree ideals

Claudia Andrei-Ciobanu

arxiv:1907.06532 v1 · 2019-07-15 · 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{GMN4ZZSGVFFAM4VQJT6NAFVOVZ}

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	2026-05-17T23:40:37.464180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

331bcce646a94a0672b04cfcd016aeae5a2efbc614f2210764f3723efdd8760f

Aliases

arxiv: 1907.06532 · arxiv_version: 1907.06532v1 · doi: 10.48550/arxiv.1907.06532 · pith_short_12: GMN4ZZSGVFFA · pith_short_16: GMN4ZZSGVFFAM4VQ · pith_short_8: GMN4ZZSG

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/GMN4ZZSGVFFAM4VQJT6NAFVOVZ \
  | 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: 331bcce646a94a0672b04cfcd016aeae5a2efbc614f2210764f3723efdd8760f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bf61a9f93ace0bce3035ebc2600b3b4b4b3f3930e83dcf9c9c11267bdeedbdc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-07-15T14:58:54Z",
    "title_canon_sha256": "900b854266e1827ae8a7ca416ba1aa6fca0f363b5100d1018c7815175e7aad2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06532",
    "kind": "arxiv",
    "version": 1
  }
}