Pith Number

pith:4BHLLZXW

pith:2012:4BHLLZXW2UXN7MRPPEKVSRKCMJ

not attested not anchored not stored refs pending

Group actions on filtered modules and finite determinacy. Finding large submodules in the orbit by linearization

Dmitry Kerner, Genrich Belitskii

arxiv:1212.6894 v5 · 2012-12-31 · 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{4BHLLZXW2UXN7MRPPEKVSRKCMJ}

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	2026-05-18T00:54:04.149389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e04eb5e6f6d52edfb22f79155945426273e2c2cfd00d9d3e7c99abf293b7c817

Aliases

arxiv: 1212.6894 · arxiv_version: 1212.6894v5 · doi: 10.48550/arxiv.1212.6894 · pith_short_12: 4BHLLZXW2UXN · pith_short_16: 4BHLLZXW2UXN7MRP · pith_short_8: 4BHLLZXW

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/4BHLLZXW2UXN7MRPPEKVSRKCMJ \
  | 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: e04eb5e6f6d52edfb22f79155945426273e2c2cfd00d9d3e7c99abf293b7c817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61972d14a57380820a0579bf12442fe2081073a17d2c1e67f5a3242c6353909b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-31T14:04:05Z",
    "title_canon_sha256": "38026cba6a71d9d307c5204ba5742970f86d12a40f27c1202398999e2b34c028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6894",
    "kind": "arxiv",
    "version": 5
  }
}