Pith Number

pith:4WRWHAR2

pith:2016:4WRWHAR2X4TJVKF7B6TTPKPPMP

not attested not anchored not stored refs pending

On classes of C3 and D3 modules

Abyzov Adel Nailevich, Tran Hoai Ngoc Nhan, Truong Cong Quynh

arxiv:1609.04052 v1 · 2016-09-13 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WRWHAR2X4TJVKF7B6TTPKPPMP}

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	2026-05-18T01:04:40.802633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5a363823abf269aa8bf0fa737a9ef63f5b96e0c2cc84d0f43bb0813ef5d6890

Aliases

arxiv: 1609.04052 · arxiv_version: 1609.04052v1 · doi: 10.48550/arxiv.1609.04052 · pith_short_12: 4WRWHAR2X4TJ · pith_short_16: 4WRWHAR2X4TJVKF7 · pith_short_8: 4WRWHAR2

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/4WRWHAR2X4TJVKF7B6TTPKPPMP \
  | 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: e5a363823abf269aa8bf0fa737a9ef63f5b96e0c2cc84d0f43bb0813ef5d6890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9c7efe48d387d02f85abe3298d0892cf31689725abc0794e5b7bd6c270a754f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-09-13T21:07:29Z",
    "title_canon_sha256": "5ef1021f9fe8ce928be4ece4ef710349635a88e6b1960896b17078c85bc424bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04052",
    "kind": "arxiv",
    "version": 1
  }
}