Pith Number

pith:RLXSIABL

pith:2015:RLXSIABLEJ4D3GDXAZSLVMEW7O

not attested not anchored not stored refs pending

A criterion for dualizing modules

Kamran Divaani-Aazar, Massoud Tousi, Massoumeh Nikkhah Babaei

arxiv:1503.04295 v1 · 2015-03-14 · 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{RLXSIABLEJ4D3GDXAZSLVMEW7O}

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	2026-05-18T02:23:25.519991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8aef24002b22783d98770664bab096fba7680020c5903c7f3510122f8865c351

Aliases

arxiv: 1503.04295 · arxiv_version: 1503.04295v1 · doi: 10.48550/arxiv.1503.04295 · pith_short_12: RLXSIABLEJ4D · pith_short_16: RLXSIABLEJ4D3GDX · pith_short_8: RLXSIABL

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/RLXSIABLEJ4D3GDXAZSLVMEW7O \
  | 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: 8aef24002b22783d98770664bab096fba7680020c5903c7f3510122f8865c351

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c17d41626f995c643195561af52c7817213f36a74e081ed9a6c7f011b07a29b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-03-14T11:47:14Z",
    "title_canon_sha256": "53152f9c90830d47412ee72113ca80d6cc6a1ddc42643594324a97a90a6aab04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04295",
    "kind": "arxiv",
    "version": 1
  }
}