Pith Number

pith:KQCXMYXR

pith:2013:KQCXMYXRSNBQEV2RAY6F6CQMJH

not attested not anchored not stored refs pending

Long geodesics in subgraphs of the cube

Eoin Long, Imre Leader

arxiv:1301.2195 v1 · 2013-01-10 · 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{KQCXMYXRSNBQEV2RAY6F6CQMJH}

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	2026-05-18T03:36:47.215072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54057662f19343025751063c5f0a0c49f425898e6cd11cec5dc374aec76a7603

Aliases

arxiv: 1301.2195 · arxiv_version: 1301.2195v1 · doi: 10.48550/arxiv.1301.2195 · pith_short_12: KQCXMYXRSNBQ · pith_short_16: KQCXMYXRSNBQEV2R · pith_short_8: KQCXMYXR

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/KQCXMYXRSNBQEV2RAY6F6CQMJH \
  | 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: 54057662f19343025751063c5f0a0c49f425898e6cd11cec5dc374aec76a7603

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "300c8d412090b2519560bcc677597c76489766febe060755d8ce83b17916e5f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-10T17:35:50Z",
    "title_canon_sha256": "86618d87db667debbc2020adf7caa35ed5bd7de6bb6e200f93221a285855b19a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2195",
    "kind": "arxiv",
    "version": 1
  }
}