Pith Number

pith:ETMKPTA7

pith:2023:ETMKPTA7M7VNYJU7H5RHXKLNKB

not attested not anchored not stored refs pending

Accessibility, planar graphs, and quasi-isometries

Joseph Paul MacManus

arxiv:2310.15242 v6 · 2023-10-23 · math.GR · math.CO · 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{ETMKPTA7M7VNYJU7H5RHXKLNKB}

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

2 papers in Pith

Relative accessibility for graphs

Almost planar finitely presented groups

Receipt and verification

First computed	2026-05-18T03:10:13.246589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24d8a7cc1f67eadc269f3f627ba96d5069c12024c2ceba6a52dfadc10aaa5bf3

Aliases

arxiv: 2310.15242 · arxiv_version: 2310.15242v6 · doi: 10.48550/arxiv.2310.15242 · pith_short_12: ETMKPTA7M7VN · pith_short_16: ETMKPTA7M7VNYJU7 · pith_short_8: ETMKPTA7

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/ETMKPTA7M7VNYJU7H5RHXKLNKB \
  | 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: 24d8a7cc1f67eadc269f3f627ba96d5069c12024c2ceba6a52dfadc10aaa5bf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8d6050100636846e541f62b68b311797aa2f6764c45ba8b986b28d3f41d566e",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-10-23T18:01:01Z",
    "title_canon_sha256": "77bccbaa1d77c58ec692178c78689f6d42309da2e0a685e615c5a3e38ff36786"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.15242",
    "kind": "arxiv",
    "version": 6
  }
}