Pith Number

pith:4VYLJBID

pith:2025:4VYLJBIDBUD4HIJGERYYVCD6QI

not attested not anchored not stored refs pending

Hypercube minor-universality

Elad Tzalik, Itai Benjamini, Or Kalifa

arxiv:2501.13730 v3 · 2025-01-23 · 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{4VYLJBIDBUD4HIJGERYYVCD6QI}

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

1 paper in Pith

Tight Bounds for Hypercube Minor-Universality

Receipt and verification

First computed	2026-07-05T10:11:32.007267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e570b485030d07c3a12624718a887e8215e14d6ee34bfa39b25a2443a35e585b

Aliases

arxiv: 2501.13730 · arxiv_version: 2501.13730v3 · doi: 10.48550/arxiv.2501.13730 · pith_short_12: 4VYLJBIDBUD4 · pith_short_16: 4VYLJBIDBUD4HIJG · pith_short_8: 4VYLJBID

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/4VYLJBIDBUD4HIJGERYYVCD6QI \
  | 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: e570b485030d07c3a12624718a887e8215e14d6ee34bfa39b25a2443a35e585b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a06c223325c35367ac3dd681538b0d7499f871b0916976d2786ba9426b7c99bc",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-23T15:03:41Z",
    "title_canon_sha256": "6dbc88adb8526fe900a6249fe1556368baf771a49ddf59aeb165aeb29b54260d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.13730",
    "kind": "arxiv",
    "version": 3
  }
}