Pith Number

pith:MD5EWMYN

pith:2023:MD5EWMYNE446JCB7XDE2L4B4TO

not attested not anchored not stored refs pending

Assouad-Nagata dimension of minor-closed metrics

Chun-Hung Liu

arxiv:2308.12273 v5 · 2023-08-23 · math.CO · cs.DM · math.GR · math.GT · 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{MD5EWMYNE446JCB7XDE2L4B4TO}

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

Quasi-isometries, contractions, and intersection graphs

Receipt and verification

First computed	2026-07-05T10:34:05.144762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60fa4b330d2739e4883fb8c9a5f03c9ba9f229608406a416ad3ed2ff7c9bb224

Aliases

arxiv: 2308.12273 · arxiv_version: 2308.12273v5 · doi: 10.48550/arxiv.2308.12273 · pith_short_12: MD5EWMYNE446 · pith_short_16: MD5EWMYNE446JCB7 · pith_short_8: MD5EWMYN

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/MD5EWMYNE446JCB7XDE2L4B4TO \
  | 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: 60fa4b330d2739e4883fb8c9a5f03c9ba9f229608406a416ad3ed2ff7c9bb224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e2aacf76c70ca777af60fc585bb0350f4c59085be66b2217d712b77532f30f3",
    "cross_cats_sorted": [
      "cs.DM",
      "math.GR",
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-08-23T17:42:31Z",
    "title_canon_sha256": "6230fa0d8055c3712c53b0f5017a2b8bf4d5747d4794dcda9361f20f012725c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.12273",
    "kind": "arxiv",
    "version": 5
  }
}