Pith Number

pith:CPBGB6BX

pith:2014:CPBGB6BXMCOFLPW2S34AOICRQH

not attested not anchored not stored refs pending

The density of sets avoiding distance 1 in Euclidean space

Alain Thiery, Alberto Passuello, Christine Bachoc (IMB)

arxiv:1401.6140 v2 · 2014-01-23 · 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{CPBGB6BXMCOFLPW2S34AOICRQH}

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	2026-05-18T02:28:23.151843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13c260f837609c55beda96f807205181c069634aa34637a746228e01860ab2fa

Aliases

arxiv: 1401.6140 · arxiv_version: 1401.6140v2 · doi: 10.48550/arxiv.1401.6140 · pith_short_12: CPBGB6BXMCOF · pith_short_16: CPBGB6BXMCOFLPW2 · pith_short_8: CPBGB6BX

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/CPBGB6BXMCOFLPW2S34AOICRQH \
  | 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: 13c260f837609c55beda96f807205181c069634aa34637a746228e01860ab2fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc7c84e6c512791eb1f0c30fe1d57e98c0152666f0d7f76b8022d1f15636c573",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-23T19:50:09Z",
    "title_canon_sha256": "d3db644db31544befd6824992dc6055230d80f6187398fe59619ba8861466e7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6140",
    "kind": "arxiv",
    "version": 2
  }
}