Pith Number

pith:LTUSXY5G

pith:2019:LTUSXY5GZE35OBQ3DDDJOACLWE

not attested not anchored not stored refs pending

F-algebra--Rinehart Pairs and Super F-algebroids

Alexander Torres-Gomez, Javier A. Gutierrez, John Alexander Cruz Morales

arxiv:1904.04724 v2 · 2019-04-09 · math.DG · math.AG · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LTUSXY5GZE35OBQ3DDDJOACLWE}

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	2026-05-17T23:45:44.142102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ce92be3a6c937d7061b18c697004bb136523bf8f31421b17c5d25b5456b37f5

Aliases

arxiv: 1904.04724 · arxiv_version: 1904.04724v2 · doi: 10.48550/arxiv.1904.04724 · pith_short_12: LTUSXY5GZE35 · pith_short_16: LTUSXY5GZE35OBQ3 · pith_short_8: LTUSXY5G

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/LTUSXY5GZE35OBQ3DDDJOACLWE \
  | 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: 5ce92be3a6c937d7061b18c697004bb136523bf8f31421b17c5d25b5456b37f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "425a2a6989ad4e6b5235bf6ab43247a1b9a7913d78b2d550773fc1ea4a17229c",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-04-09T15:11:19Z",
    "title_canon_sha256": "beba1fb553399651dc539505c1c4a50eac426fd866c34ef6650474af727c2e9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.04724",
    "kind": "arxiv",
    "version": 2
  }
}