Pith Number

pith:M3UJOLTQ

pith:2015:M3UJOLTQVG6HP4RCIWQLIDODQJ

not attested not anchored not stored refs pending

Non-reduction of relations in the Gromov space to Polish actions

Alberto Candel, Jes\'us A. \'Alvarez L\'opez

arxiv:1501.02606 v6 · 2015-01-12 · math.GT · math.GN · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3UJOLTQVG6HP4RCIWQLIDODQJ}

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	2026-05-18T00:15:24.974858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66e8972e70a9bc77f22245a0b40dc3825bca90ce4932e7eda99bfbb26744e5c2

Aliases

arxiv: 1501.02606 · arxiv_version: 1501.02606v6 · doi: 10.48550/arxiv.1501.02606 · pith_short_12: M3UJOLTQVG6H · pith_short_16: M3UJOLTQVG6HP4RC · pith_short_8: M3UJOLTQ

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/M3UJOLTQVG6HP4RCIWQLIDODQJ \
  | 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: 66e8972e70a9bc77f22245a0b40dc3825bca90ce4932e7eda99bfbb26744e5c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2722153e1cf374f24fea30c695b64953e3fba4091b76dc237adc1272de508f01",
    "cross_cats_sorted": [
      "math.GN",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-01-12T11:34:59Z",
    "title_canon_sha256": "d340b5eb32b4e16e9bc4cf8c9fd2e066a50daa46a9c4c3680d030604531d0ae0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02606",
    "kind": "arxiv",
    "version": 6
  }
}