Pith Number

pith:OVETIZW7

pith:2024:OVETIZW7TKRKS7D6AUQ4RIROAL

not attested not anchored not stored refs pending

Embedding products of trees into higher rank

Oussama Bensaid, Thang Nguyen

arxiv:2405.02226 v1 · 2024-05-03 · math.GR · 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{OVETIZW7TKRKS7D6AUQ4RIROAL}

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	2026-07-05T08:15:08.583546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75493466df9aa2a97c7e0521c8a22e02ce573e9cbf81534d5de8e86b970cf416

Aliases

arxiv: 2405.02226 · arxiv_version: 2405.02226v1 · doi: 10.48550/arxiv.2405.02226 · pith_short_12: OVETIZW7TKRK · pith_short_16: OVETIZW7TKRKS7D6 · pith_short_8: OVETIZW7

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/OVETIZW7TKRKS7D6AUQ4RIROAL \
  | 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: 75493466df9aa2a97c7e0521c8a22e02ce573e9cbf81534d5de8e86b970cf416

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1fabce7719e59160b5159b9d8c72121bd2dbd2526008bc7a9ceb80997f66544",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-05-03T16:32:34Z",
    "title_canon_sha256": "1cd5473ab035d9eef62df137715815bcdbb6c7858e15fc342072ce6021d98492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.02226",
    "kind": "arxiv",
    "version": 1
  }
}