Pith Number

pith:ITXI4H6E

pith:2017:ITXI4H6ER3Q7VKSFR6RNWMHLAN

not attested not anchored not stored refs pending

Equivalence of Some Homological Conditions for Ring Epimorphisms

Alberto Facchini, Zahra Nazemian

arxiv:1710.00097 v1 · 2017-09-29 · 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{ITXI4H6ER3Q7VKSFR6RNWMHLAN}

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	2026-05-18T00:33:57.918027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44ee8e1fc48ee1faaa458fa2db30eb03763b54178aaa74241abe8fe2712d4193

Aliases

arxiv: 1710.00097 · arxiv_version: 1710.00097v1 · doi: 10.48550/arxiv.1710.00097 · pith_short_12: ITXI4H6ER3Q7 · pith_short_16: ITXI4H6ER3Q7VKSF · pith_short_8: ITXI4H6E

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/ITXI4H6ER3Q7VKSFR6RNWMHLAN \
  | 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: 44ee8e1fc48ee1faaa458fa2db30eb03763b54178aaa74241abe8fe2712d4193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c8c6295bf3dd8b6bd7873513a35b54a131353d472d75c866f44879a6142660e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-09-29T21:25:34Z",
    "title_canon_sha256": "8f27a0c091e2d4955f3731454457582d23db0c8bb616b396b08c595dfb5ba619"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00097",
    "kind": "arxiv",
    "version": 1
  }
}