Pith Number

pith:LVZCGH7I

pith:2024:LVZCGH7I536LZPPU4CNQLCDLEI

not attested not anchored not stored refs pending

Locally finite graphs and their localization numbers

Anthony Bonato, Florian Lehner, JD Nir, Trent G. Marbach

arxiv:2404.02409 v1 · 2024-04-03 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LVZCGH7I536LZPPU4CNQLCDLEI}

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	2026-07-05T08:03:55.815656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d72231fe8eefcbcbdf4e09b05886b2221ced9e1074047dce03ffe4e27ed90a1

Aliases

arxiv: 2404.02409 · arxiv_version: 2404.02409v1 · doi: 10.48550/arxiv.2404.02409 · pith_short_12: LVZCGH7I536L · pith_short_16: LVZCGH7I536LZPPU · pith_short_8: LVZCGH7I

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/LVZCGH7I536LZPPU4CNQLCDLEI \
  | 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: 5d72231fe8eefcbcbdf4e09b05886b2221ced9e1074047dce03ffe4e27ed90a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64dd2f5f8c1646cce58a0619fe7d70b7b83ddbda2e8c6fc715a55a1f81acd6bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-04-03T02:26:08Z",
    "title_canon_sha256": "5a30fc2f78577f9939f61152dbdb325029a2fb493a98e615017f83bb74331edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.02409",
    "kind": "arxiv",
    "version": 1
  }
}