Pith Number

pith:XFZIUCPF

pith:2017:XFZIUCPFQ3U5O4WYSQMHFA52B7

not attested not anchored not stored refs pending

A note on simple modules over quasi-local rings

Christian Lomp, Patrick F. Smith, Paula A.A.B. Carvalho

arxiv:1711.10580 v1 · 2017-11-28 · 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{XFZIUCPFQ3U5O4WYSQMHFA52B7}

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	2026-05-18T00:09:36.283328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9728a09e586e9d772d894187283ba0fe512b091853f9946348bba86f60c947f

Aliases

arxiv: 1711.10580 · arxiv_version: 1711.10580v1 · doi: 10.48550/arxiv.1711.10580 · pith_short_12: XFZIUCPFQ3U5 · pith_short_16: XFZIUCPFQ3U5O4WY · pith_short_8: XFZIUCPF

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/XFZIUCPFQ3U5O4WYSQMHFA52B7 \
  | 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: b9728a09e586e9d772d894187283ba0fe512b091853f9946348bba86f60c947f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a0c0b48c73abd1f5d613abc29033cd7a96a34a01de247f41968b6f3bd829938",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-11-28T22:00:42Z",
    "title_canon_sha256": "28190c2b5f0be28f75439c02b2cdc5c9a423985cb10651c525506a6e0121a6a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10580",
    "kind": "arxiv",
    "version": 1
  }
}