Pith Number

pith:OEQI2GMD

pith:2019:OEQI2GMDWYJ63VEL6M3YV6MROT

not attested not anchored not stored refs pending

Separation profiles, isoperimetry, growth and compression

Antoine Gournay, Corentin Le Coz

arxiv:1910.11733 v1 · 2019-10-25 · math.GR · math.MG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OEQI2GMDWYJ63VEL6M3YV6MROT}

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.

Cited by

1 paper in Pith

Topological expanders, coarse geometry and thick embeddings of complexes

Receipt and verification

First computed	2026-07-05T00:14:56.445651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71208d1983b613edd48bf3378af99174c914311b44c1112d96bb12c835cdb892

Aliases

arxiv: 1910.11733 · arxiv_version: 1910.11733v1 · doi: 10.48550/arxiv.1910.11733 · pith_short_12: OEQI2GMDWYJ6 · pith_short_16: OEQI2GMDWYJ63VEL · pith_short_8: OEQI2GMD

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/OEQI2GMDWYJ63VEL6M3YV6MROT \
  | 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: 71208d1983b613edd48bf3378af99174c914311b44c1112d96bb12c835cdb892

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2caa95708a00ad3088d48da3f4bf7e19c5050674ddc720e746b033dc3bac8528",
    "cross_cats_sorted": [
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-10-25T14:00:19Z",
    "title_canon_sha256": "caa92574a98e3fad49d25a0a5393c1fe744c1d35b08c7f93e2f24a8351c700e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.11733",
    "kind": "arxiv",
    "version": 1
  }
}