Pith Number

pith:VRLLCASO

pith:2012:VRLLCASOKOSS7NGZJLEAQHT7AS

not attested not anchored not stored refs pending

New results on the coarseness of bicolored point sets

I. Ventura, J. M. D\'iaz-B\'a\~nez, P. P\'erez-Lantero, R. Fabila-Monroy

arxiv:1211.2020 v2 · 2012-11-09 · math.CO · cs.DM · 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{VRLLCASOKOSS7NGZJLEAQHT7AS}

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	2026-05-18T03:06:03.519248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac56b1024e53a52fb4d94ac8081e7f048a88d4f80ca7fc19610dc13ff1ccbc53

Aliases

arxiv: 1211.2020 · arxiv_version: 1211.2020v2 · doi: 10.48550/arxiv.1211.2020 · pith_short_12: VRLLCASOKOSS · pith_short_16: VRLLCASOKOSS7NGZ · pith_short_8: VRLLCASO

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/VRLLCASOKOSS7NGZJLEAQHT7AS \
  | 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: ac56b1024e53a52fb4d94ac8081e7f048a88d4f80ca7fc19610dc13ff1ccbc53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60d60bbc1168704c05499589c593103270517f7f6bb159d6439e9aa8e392f16c",
    "cross_cats_sorted": [
      "cs.DM",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-09T00:54:29Z",
    "title_canon_sha256": "4f179bae6e59ccabc13f5fb5e50961b99d02a6e94aa4b091735e79830605fd71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2020",
    "kind": "arxiv",
    "version": 2
  }
}