Pith Number

pith:A7H7XDXB

pith:2015:A7H7XDXBOITLHJAUHCUYIB4TXQ

not attested not anchored not stored refs pending

Toward Homological Structure Theory of Semimodules: On Semirings All of Whose Cyclic Semimodules Are Projective

S. N. Il'in, T.G. Nam, Y. Katsov

arxiv:1509.02997 v1 · 2015-09-10 · 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{A7H7XDXBOITLHJAUHCUYIB4TXQ}

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	2026-05-18T01:33:25.844942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07cffb8ee17226b3a41438a9840793bc1b780652f67c6ea1acfb5a85696b7bbe

Aliases

arxiv: 1509.02997 · arxiv_version: 1509.02997v1 · doi: 10.48550/arxiv.1509.02997 · pith_short_12: A7H7XDXBOITL · pith_short_16: A7H7XDXBOITLHJAU · pith_short_8: A7H7XDXB

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/A7H7XDXBOITLHJAUHCUYIB4TXQ \
  | 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: 07cffb8ee17226b3a41438a9840793bc1b780652f67c6ea1acfb5a85696b7bbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a11d57da3d3fa7a189018affed71654a54210b834fb150745757634f6a311e8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-09-10T03:31:06Z",
    "title_canon_sha256": "fc8a83b201141cde2a6b419c56b51544cc6e947bdcc43d69211bbebf49da435c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02997",
    "kind": "arxiv",
    "version": 1
  }
}