Pith Number

pith:53D7BT2P

pith:2012:53D7BT2PGSMGPAPBZGZYIVEWPP

not attested not anchored not stored refs pending

The closed knight tour problem in higher dimensions

Bruno Golenia (Computer Science Department), Joshua Erde, Sylvain Golenia

arxiv:1202.5291 v3 · 2012-02-23 · 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{53D7BT2PGSMGPAPBZGZYIVEWPP}

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	2026-05-18T03:57:26.522088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eec7f0cf4f34986781e1c9b38454967be0e347f6519ce8b6667b80d6724e1dd4

Aliases

arxiv: 1202.5291 · arxiv_version: 1202.5291v3 · doi: 10.48550/arxiv.1202.5291 · pith_short_12: 53D7BT2PGSMG · pith_short_16: 53D7BT2PGSMGPAPB · pith_short_8: 53D7BT2P

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/53D7BT2PGSMGPAPBZGZYIVEWPP \
  | 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: eec7f0cf4f34986781e1c9b38454967be0e347f6519ce8b6667b80d6724e1dd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f241ed6abb39781d1487ca3a962fee61c51003845a2a5267c5afdf4363ecd13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-23T20:41:00Z",
    "title_canon_sha256": "cb4fffe78153c2c99ee4f770f35dbc2cdebdbffaa432ee50c65560986a975b21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5291",
    "kind": "arxiv",
    "version": 3
  }
}