Pith Number

pith:6KWI2DQG

pith:2018:6KWI2DQGEMCQAZQNXWOWQQIJ7N

not attested not anchored not stored refs pending

Intersection sizes of linear subspaces with the hypercube

Carla Groenland, Tom Johnston

arxiv:1810.02729 v1 · 2018-10-05 · 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{6KWI2DQGEMCQAZQNXWOWQQIJ7N}

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	2026-05-18T00:04:00.818477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2ac8d0e06230500660dbd9d684109fb68b47d789b2b9adc2d070a8533b2bfa9

Aliases

arxiv: 1810.02729 · arxiv_version: 1810.02729v1 · doi: 10.48550/arxiv.1810.02729 · pith_short_12: 6KWI2DQGEMCQ · pith_short_16: 6KWI2DQGEMCQAZQN · pith_short_8: 6KWI2DQG

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/6KWI2DQGEMCQAZQNXWOWQQIJ7N \
  | 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: f2ac8d0e06230500660dbd9d684109fb68b47d789b2b9adc2d070a8533b2bfa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "770c1ca069ed23cf8e2e60128547648473b73645e27b538bb16e0da90dbd3fb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-05T14:52:23Z",
    "title_canon_sha256": "4f66869785caf515e925e39951c407e70b4a0e2e44f5726f5b1604d8f161ac4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02729",
    "kind": "arxiv",
    "version": 1
  }
}