Pith Number

pith:7ZMKHWMR

pith:2014:7ZMKHWMRBGEDNYG6SRSMZ53ZJ6

not attested not anchored not stored refs pending

Quantitative Bounded Distance Theorem and Margulis' Lemma for Z^n actions with applications to homology

Andrea Sambusetti, Filippo Cerocchi

arxiv:1412.6516 v2 · 2014-12-19 · math.MG · 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{7ZMKHWMRBGEDNYG6SRSMZ53ZJ6}

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	2026-05-17T23:39:42.469752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe58a3d991098836e0de9464ccf7794fb66eff7e97e0371a9057164127f414f9

Aliases

arxiv: 1412.6516 · arxiv_version: 1412.6516v2 · doi: 10.48550/arxiv.1412.6516 · pith_short_12: 7ZMKHWMRBGED · pith_short_16: 7ZMKHWMRBGEDNYG6 · pith_short_8: 7ZMKHWMR

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/7ZMKHWMRBGEDNYG6SRSMZ53ZJ6 \
  | 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: fe58a3d991098836e0de9464ccf7794fb66eff7e97e0371a9057164127f414f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4b2a05e9cb712da2226590b9cc1655ba093a834886cec7ae4fdc29596efc59a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-12-19T20:33:17Z",
    "title_canon_sha256": "a7006f6761a06599bf954d0dba18a070922a8a82950526ab028ef185501b73cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6516",
    "kind": "arxiv",
    "version": 2
  }
}