Pith Number

pith:KBO4G3TG

pith:2015:KBO4G3TGFRB6LYCIABLZAVX62H

not attested not anchored not stored refs pending

$\phi$-classical prime submodules

Esra Sengelen Sevim, Hojjat Mostafanasab, Sakineh Babaei, Unsal Tekir

arxiv:1507.08981 v1 · 2015-07-30 · 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{KBO4G3TGFRB6LYCIABLZAVX62H}

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	2026-05-18T01:36:02.472845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

505dc36e662c43e5e04800579056fed1d3141621f5cba9d1a2cfe666d666ae2f

Aliases

arxiv: 1507.08981 · arxiv_version: 1507.08981v1 · doi: 10.48550/arxiv.1507.08981 · pith_short_12: KBO4G3TGFRB6 · pith_short_16: KBO4G3TGFRB6LYCI · pith_short_8: KBO4G3TG

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/KBO4G3TGFRB6LYCIABLZAVX62H \
  | 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: 505dc36e662c43e5e04800579056fed1d3141621f5cba9d1a2cfe666d666ae2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "285db8c77929b13ca8fa99b214835b90c63b5c90963c05e7267e0361a477c2ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-07-30T12:43:16Z",
    "title_canon_sha256": "203f2e2b6a7dc348f5300e7125a0f6db3a5c5ef89f4700bc2d3ae1fb3515a2aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08981",
    "kind": "arxiv",
    "version": 1
  }
}