Pith Number

pith:PKKGOHXR

pith:2010:PKKGOHXR2STE4QK6CVZE3XAZXZ

not attested not anchored not stored refs pending

Parity balance of the $i$-th dimension edges in Hamiltonian cycles of the hypercube

Feli\'u Sagols, Guillermo Morales-Luna

arxiv:1009.3304 v1 · 2010-09-17 · 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{PKKGOHXR2STE4QK6CVZE3XAZXZ}

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	2026-05-18T04:40:46.000651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a94671ef1d4a64e415e15724ddc19be4f91198892abb554283f003b1c31bfd3

Aliases

arxiv: 1009.3304 · arxiv_version: 1009.3304v1 · doi: 10.48550/arxiv.1009.3304 · pith_short_12: PKKGOHXR2STE · pith_short_16: PKKGOHXR2STE4QK6 · pith_short_8: PKKGOHXR

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/PKKGOHXR2STE4QK6CVZE3XAZXZ \
  | 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: 7a94671ef1d4a64e415e15724ddc19be4f91198892abb554283f003b1c31bfd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5907a018fa982a7b55c5ffcf7f2a663e8652d0168b08a26962a3f898439c07f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-17T00:43:02Z",
    "title_canon_sha256": "7687f75906f918a35c6539a1cc70772dbbe56079d3f761ed076705c7ab7de86b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3304",
    "kind": "arxiv",
    "version": 1
  }
}