Pith Number

pith:JBLSIQ5Z

pith:2014:JBLSIQ5ZGLCRC3R7MD6ROICVIR

not attested not anchored not stored refs pending

On the notion of 'retractable modules' in the context of algebras

Christian Lomp

arxiv:1405.0123 v1 · 2014-05-01 · 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{JBLSIQ5ZGLCRC3R7MD6ROICVIR}

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	2026-05-18T01:04:41.841920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48572443b932c5116e3f60fd17205544417a0f8c748995ef3e84636505edda32

Aliases

arxiv: 1405.0123 · arxiv_version: 1405.0123v1 · doi: 10.48550/arxiv.1405.0123 · pith_short_12: JBLSIQ5ZGLCR · pith_short_16: JBLSIQ5ZGLCRC3R7 · pith_short_8: JBLSIQ5Z

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/JBLSIQ5ZGLCRC3R7MD6ROICVIR \
  | 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: 48572443b932c5116e3f60fd17205544417a0f8c748995ef3e84636505edda32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5c79f7e724b6dabc0b273db452e93e301b105552bd2ccd7e9ec1fa826f7453e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-05-01T10:12:44Z",
    "title_canon_sha256": "8a1b0905adcf3dbb40e57e3a158e497dc7f260e5222c2492d6d5c0a267ba2d89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0123",
    "kind": "arxiv",
    "version": 1
  }
}