Pith Number

pith:T3GFZWSI

pith:2023:T3GFZWSIC4R5OFREMDCIOVEWPL

not attested not anchored not stored refs pending

A coarse geometric approach to graph layout problems

David Hume, Ryan Lam, Samuel J. Kelly, Wanying Huang

arxiv:2312.07105 v2 · 2023-12-12 · math.MG · 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{T3GFZWSIC4R5OFREMDCIOVEWPL}

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	2026-07-05T11:49:02.503792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ecc5cda481723d7162460c48754967afe5080fc277e707c26f6f325e05793f8

Aliases

arxiv: 2312.07105 · arxiv_version: 2312.07105v2 · doi: 10.48550/arxiv.2312.07105 · pith_short_12: T3GFZWSIC4R5 · pith_short_16: T3GFZWSIC4R5OFRE · pith_short_8: T3GFZWSI

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/T3GFZWSIC4R5OFREMDCIOVEWPL \
  | 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: 9ecc5cda481723d7162460c48754967afe5080fc277e707c26f6f325e05793f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb92fd887c96ae4e000c1e73921bb3bbe896949c24299610337cbc722e22c74f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2023-12-12T09:35:09Z",
    "title_canon_sha256": "06815455f3e0c4376bbfd8da5bdc476771185bd29f6aa3fea5a1eb3c7d1f5460"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.07105",
    "kind": "arxiv",
    "version": 2
  }
}