Pith Number

pith:3MFHYBDR

pith:2016:3MFHYBDREAGQGJAGGKPITNPTBY

not attested not anchored not stored refs pending

Structure of irreducible homomorphisms to/from free modules

Ryo Takahashi, Saeed Nasseh

arxiv:1606.02621 v2 · 2016-06-08 · 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{3MFHYBDREAGQGJAGGKPITNPTBY}

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	2026-05-18T00:41:08.125608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db0a7c0471200d032406329e89b5f30e30089c57ef6719dcdc153ce9d0c36053

Aliases

arxiv: 1606.02621 · arxiv_version: 1606.02621v2 · doi: 10.48550/arxiv.1606.02621 · pith_short_12: 3MFHYBDREAGQ · pith_short_16: 3MFHYBDREAGQGJAG · pith_short_8: 3MFHYBDR

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/3MFHYBDREAGQGJAGGKPITNPTBY \
  | 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: db0a7c0471200d032406329e89b5f30e30089c57ef6719dcdc153ce9d0c36053

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f0425b22b2752b32944a519ff342c5471f3881644855e9dd9471630ed777e6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-06-08T16:16:56Z",
    "title_canon_sha256": "daa501dbd61c5bb76dbba753e907fddc6f4c514b42cb3890fbdeb5e87795866d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02621",
    "kind": "arxiv",
    "version": 2
  }
}