Pith Number

pith:SFR73YWU

pith:2016:SFR73YWUTAXHGCA74CBB2NLJ6B

not attested not anchored not stored refs pending

Codimension two and three Kneser Transversals

Jonathan Chappelon (1), Jorge Luis Ram\'irez Alfons\'in (1) ((1) IMAG), Leonardo Mart\'inez-Sandoval (1), Luis Montejano, Luis Pedro Montejano (1)

arxiv:1601.00421 v4 · 2016-01-04 · 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{SFR73YWUTAXHGCA74CBB2NLJ6B}

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	2026-05-18T00:30:33.091027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9163fde2d4982e73081fe0821d3569f06d665107882a4d77ebbae3488435ef3e

Aliases

arxiv: 1601.00421 · arxiv_version: 1601.00421v4 · doi: 10.48550/arxiv.1601.00421 · pith_short_12: SFR73YWUTAXH · pith_short_16: SFR73YWUTAXHGCA7 · pith_short_8: SFR73YWU

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/SFR73YWUTAXHGCA74CBB2NLJ6B \
  | 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: 9163fde2d4982e73081fe0821d3569f06d665107882a4d77ebbae3488435ef3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e3a2d46f2f6ac54b61ce0c6b019064e064149eb687df0c08ac7d3012a92aee7",
    "cross_cats_sorted": [
      "cs.DM",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-04T09:32:25Z",
    "title_canon_sha256": "d6bb80c537be4a323684ce749849849fdeb88d205a538ea01d54e8ec1108ca93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00421",
    "kind": "arxiv",
    "version": 4
  }
}