Pith Number

pith:D2YYVNYV

pith:2013:D2YYVNYVLAENWJVV4KE72OLC63

not attested not anchored not stored refs pending

Automorphism-invariant modules satisfy the exchange property

Ashish K. Srivastava, Pedro A Guil Asensio

arxiv:1304.0056 v3 · 2013-03-30 · 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{D2YYVNYVLAENWJVV4KE72OLC63}

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	2026-05-18T03:25:45.659070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eb18ab7155808db26b5e289fd3962f6e9755f46105a6dce1648d8e7f81c3a72

Aliases

arxiv: 1304.0056 · arxiv_version: 1304.0056v3 · doi: 10.48550/arxiv.1304.0056 · pith_short_12: D2YYVNYVLAEN · pith_short_16: D2YYVNYVLAENWJVV · pith_short_8: D2YYVNYV

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/D2YYVNYVLAENWJVV4KE72OLC63 \
  | 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: 1eb18ab7155808db26b5e289fd3962f6e9755f46105a6dce1648d8e7f81c3a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "762cc5313655e990cd6723f5215695963250ad8dd5ce3b3cac4f7e8b649a5e46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-03-30T00:59:22Z",
    "title_canon_sha256": "64d9f2845d8cd2f16df5ea747eb22b3db2c550754f0a9a8208a6e8fa8b36e010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0056",
    "kind": "arxiv",
    "version": 3
  }
}