Pith Number

pith:LGXDK5IE

pith:2018:LGXDK5IE5NGUJHFHF2MUY2WKFK

not attested not anchored not stored refs pending

Reflexivity of modules

Adri\'an Gordillo-Merino, Jos\'e Navarro, Pedro Sancho

arxiv:1806.09892 v1 · 2018-06-26 · math.RA · 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{LGXDK5IE5NGUJHFHF2MUY2WKFK}

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	2026-05-18T00:12:22.970467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59ae357504eb4d449ca72e994c6aca2a97ab0adf31d497cbd63980cc0e30830a

Aliases

arxiv: 1806.09892 · arxiv_version: 1806.09892v1 · doi: 10.48550/arxiv.1806.09892 · pith_short_12: LGXDK5IE5NGU · pith_short_16: LGXDK5IE5NGUJHFH · pith_short_8: LGXDK5IE

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/LGXDK5IE5NGUJHFHF2MUY2WKFK \
  | 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: 59ae357504eb4d449ca72e994c6aca2a97ab0adf31d497cbd63980cc0e30830a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56c3445f96daf83db18191ca88e55c3c5d04a876a5eaf967ce1076f18a2596fd",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-06-26T10:39:21Z",
    "title_canon_sha256": "ebc4c60b6f890cca2c06e85c237fa18f8a1f90f7f05d1a43b9e96294786059c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09892",
    "kind": "arxiv",
    "version": 1
  }
}