Pith Number

pith:PNKRDEAV

pith:2017:PNKRDEAV52GNTVC3F7WI7CX76E

not attested not anchored not stored refs pending

Red-injective modules

David Ssevviiri, Juma Kasozi, Vincent Umutabazi

arxiv:1705.06411 v1 · 2017-05-18 · 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{PNKRDEAV52GNTVC3F7WI7CX76E}

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	2026-05-18T00:44:14.827902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b55119015ee8cd9d45b2fec8f8afff11227a11d1d343fd451e88701d2392594

Aliases

arxiv: 1705.06411 · arxiv_version: 1705.06411v1 · doi: 10.48550/arxiv.1705.06411 · pith_short_12: PNKRDEAV52GN · pith_short_16: PNKRDEAV52GNTVC3 · pith_short_8: PNKRDEAV

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/PNKRDEAV52GNTVC3F7WI7CX76E \
  | 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: 7b55119015ee8cd9d45b2fec8f8afff11227a11d1d343fd451e88701d2392594

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddce674cc180080fe0f31a1c9535f51b85767a96c71226260bdaa866232521bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-05-18T04:12:59Z",
    "title_canon_sha256": "0b0f641db0c933d8cfa2442f46983eeab043f7be032d21441df01ff50b870d1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06411",
    "kind": "arxiv",
    "version": 1
  }
}