Pith Number

pith:RQSRMZVD

pith:2023:RQSRMZVDSC6XKLQAG6D4LDJUU6

not attested not anchored not stored refs pending

Coarse equivalence versus bijective coarse equivalence of expander graphs

Alessandro Vignati, Bruno de Mendon\c{c}a Braga, Florent Baudier, Ilijas Farah, Rufus Willett

arxiv:2307.11529 v1 · 2023-07-21 · math.MG · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQSRMZVDSC6XKLQAG6D4LDJUU6}

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

C*-rigidity of bounded geometry metric spaces

Receipt and verification

First computed	2026-07-05T06:33:28.817939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c251666a390bd752e003787c58d34a7b02c76bbc2a265f9f6c9f8fecc2a5eea

Aliases

arxiv: 2307.11529 · arxiv_version: 2307.11529v1 · doi: 10.48550/arxiv.2307.11529 · pith_short_12: RQSRMZVDSC6X · pith_short_16: RQSRMZVDSC6XKLQA · pith_short_8: RQSRMZVD

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/RQSRMZVDSC6XKLQAG6D4LDJUU6 \
  | 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: 8c251666a390bd752e003787c58d34a7b02c76bbc2a265f9f6c9f8fecc2a5eea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "155722598ce4497bca6c9e2fa3d5bb4bbf081ec34766e847bebe72b283d3568d",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2023-07-21T12:22:49Z",
    "title_canon_sha256": "0819d3f89a5500d2868b46013436afaf4a70106cfe286aac53a2c72b8f6d627c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.11529",
    "kind": "arxiv",
    "version": 1
  }
}