Pith Number

pith:CCYCA6PY

pith:2018:CCYCA6PYLIYBD3TOQ7ZY7FDYXB

not attested not anchored not stored refs pending

The k-cube is k-representable

Bas Broere, Hans Zantema

arxiv:1808.01800 v1 · 2018-08-06 · 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{CCYCA6PYLIYBD3TOQ7ZY7FDYXB}

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	2026-05-18T00:08:49.628150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10b02079f85a3011ee6e87f38f9478b86bc199698e3285ef1bd85facc409d2ed

Aliases

arxiv: 1808.01800 · arxiv_version: 1808.01800v1 · doi: 10.48550/arxiv.1808.01800 · pith_short_12: CCYCA6PYLIYB · pith_short_16: CCYCA6PYLIYBD3TO · pith_short_8: CCYCA6PY

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/CCYCA6PYLIYBD3TOQ7ZY7FDYXB \
  | 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: 10b02079f85a3011ee6e87f38f9478b86bc199698e3285ef1bd85facc409d2ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44c2147ed2d9a9e42a80b847fe299103a76f5cdcf3bb6439eba9832aabad16b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-06T09:45:00Z",
    "title_canon_sha256": "a680dff0be8db5e4a8edc872c01724ea39b4eca4cd60f482d470dc3ee23ded0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01800",
    "kind": "arxiv",
    "version": 1
  }
}