Pith Number

pith:SE4XY3JS

pith:2013:SE4XY3JS55GCS7HKYFXBLESTDT

not attested not anchored not stored refs pending

Engel theorem through singularities

Luis G. Maza, Maur\'icio Corr\^ea Jr

arxiv:1303.4712 v3 · 2013-03-19 · math.CV · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SE4XY3JS55GCS7HKYFXBLESTDT}

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	2026-05-18T00:03:34.711518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91397c6d32ef4c297ceac16e1592531cd07532ee4fd4945cbf64e6735b24c6a9

Aliases

arxiv: 1303.4712 · arxiv_version: 1303.4712v3 · doi: 10.48550/arxiv.1303.4712 · pith_short_12: SE4XY3JS55GC · pith_short_16: SE4XY3JS55GCS7HK · pith_short_8: SE4XY3JS

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/SE4XY3JS55GCS7HKYFXBLESTDT \
  | 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: 91397c6d32ef4c297ceac16e1592531cd07532ee4fd4945cbf64e6735b24c6a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "442f1695460ff5e8df30c365d3054ef61da19c6de5cfd4b5ad0359503211aa51",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-03-19T19:31:16Z",
    "title_canon_sha256": "efe649ccae5de546d5648733a74dfbad9ca76b1e58282e0240d195d52be85e29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4712",
    "kind": "arxiv",
    "version": 3
  }
}