Pith Number

pith:GU3FVTA2

pith:2024:GU3FVTA22PLHYCZQDPFYKQQM3T

not attested not anchored not stored refs pending

The Aldous--Lyons Conjecture I: Subgroup Tests

Alexander Lubotzky, Lewis Bowen, Michael Chapman, Thomas Vidick

arxiv:2408.00110 v1 · 2024-07-31 · math.GR · math.CO · 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{GU3FVTA22PLHYCZQDPFYKQQM3T}

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

Tracks on planar complexes and soficity

Receipt and verification

First computed	2026-07-05T08:50:58.665295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35365acc1ad3d67c0b301bcb85420cdcc39e5bac2976f685e3e6fea908aba32c

Aliases

arxiv: 2408.00110 · arxiv_version: 2408.00110v1 · doi: 10.48550/arxiv.2408.00110 · pith_short_12: GU3FVTA22PLH · pith_short_16: GU3FVTA22PLHYCZQ · pith_short_8: GU3FVTA2

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/GU3FVTA22PLHYCZQDPFYKQQM3T \
  | 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: 35365acc1ad3d67c0b301bcb85420cdcc39e5bac2976f685e3e6fea908aba32c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "483de0100db1dd8dcfb161cc3137eb5b52397c1c06cbd3e782ed803dd1a0dc3c",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-07-31T18:37:19Z",
    "title_canon_sha256": "f081140d832f34fa4993f536e57e88e65e3d7eed6f41a6c6e1cd58f80fd2a6c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.00110",
    "kind": "arxiv",
    "version": 1
  }
}