Pith Number

pith:LINBA7KZ

pith:2025:LINBA7KZ2GSXZD6FK3SU7JYWNB

not attested not anchored not stored refs pending

Tight Bounds for Hypercube Minor-Universality

Alex Scott, Dmitry Tsarev, Emma Hogan, Jane Tan, Lukas Michel, Youri Tamitegama

arxiv:2502.06629 v1 · 2025-02-10 · 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{LINBA7KZ2GSXZD6FK3SU7JYWNB}

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	2026-07-05T10:12:09.768156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a1a107d59d1a57c8fc556e54fa71668715adfff811a0b93df5bbb512e23597a

Aliases

arxiv: 2502.06629 · arxiv_version: 2502.06629v1 · doi: 10.48550/arxiv.2502.06629 · pith_short_12: LINBA7KZ2GSX · pith_short_16: LINBA7KZ2GSXZD6F · pith_short_8: LINBA7KZ

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/LINBA7KZ2GSXZD6FK3SU7JYWNB \
  | 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: 5a1a107d59d1a57c8fc556e54fa71668715adfff811a0b93df5bbb512e23597a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5602301872aff216c7e67e16fc5685be79e66d52d0871651c2b01a86552edcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-10T16:26:18Z",
    "title_canon_sha256": "b8721a0fe119edf0a779ab00e7456791a120d953dc2f36e9c6b9635fda084a70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06629",
    "kind": "arxiv",
    "version": 1
  }
}