Pith Number

pith:W3MJW7JX

pith:2017:W3MJW7JXJGO62LRYKPVOI23DHJ

not attested not anchored not stored refs pending

New Characterization of Flat Affine Manifolds and the Associative Envelope of a Left Symmetric Algebra

Alberto Medina, Andres Villab\'on, Omar Saldarriaga

arxiv:1707.07030 v4 · 2017-07-21 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W3MJW7JXJGO62LRYKPVOI23DHJ}

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	2026-05-18T00:06:51.189658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6d89b7d37499ded2e3853eae46b633a428c064e919386087c291a52f37201a9

Aliases

arxiv: 1707.07030 · arxiv_version: 1707.07030v4 · doi: 10.48550/arxiv.1707.07030 · pith_short_12: W3MJW7JXJGO6 · pith_short_16: W3MJW7JXJGO62LRY · pith_short_8: W3MJW7JX

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/W3MJW7JXJGO62LRYKPVOI23DHJ \
  | 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: b6d89b7d37499ded2e3853eae46b633a428c064e919386087c291a52f37201a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dfd362082d7e0a512851138a4ceb62cafc87bc465bf27eccbed284a6f243c4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-07-21T19:51:17Z",
    "title_canon_sha256": "e50e3420d06c34ed79ca02b5ce8c3adf766f6ecbf25b04d91000d8de651e53aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07030",
    "kind": "arxiv",
    "version": 4
  }
}