Pith Number

pith:LEAJHRAJ

pith:2017:LEAJHRAJUY6WEHVOPCSKW3URAE

not attested not anchored not stored refs pending

On the classification of prolongations up to Engel homotopy

\'Alvaro del Pino

arxiv:1708.00295 v1 · 2017-08-01 · math.SG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEAJHRAJUY6WEHVOPCSKW3URAE}

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	2026-05-18T00:39:05.530662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

590093c409a63d621eae78a4ab6e91012e8f2d05d53a52a5be7b6a67d8c29db0

Aliases

arxiv: 1708.00295 · arxiv_version: 1708.00295v1 · doi: 10.48550/arxiv.1708.00295 · pith_short_12: LEAJHRAJUY6W · pith_short_16: LEAJHRAJUY6WEHVO · pith_short_8: LEAJHRAJ

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/LEAJHRAJUY6WEHVOPCSKW3URAE \
  | 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: 590093c409a63d621eae78a4ab6e91012e8f2d05d53a52a5be7b6a67d8c29db0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a288b3535da7ed54486c8813e429b85ec69be842319d1bca9a15b8c37d8c4f02",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-08-01T12:59:49Z",
    "title_canon_sha256": "8883e58f28c4bd9c91acd7f3be24b93972450a4f698494717cf15a9b08a05626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00295",
    "kind": "arxiv",
    "version": 1
  }
}