Pith Number

pith:Y3BGE7UD

pith:2026:Y3BGE7UD4QLSOUDGKJ4UMIYOFH

not attested not anchored not stored refs pending

Constructing two completely independent spanning trees in the dual-cube

Abdallah Skender, Mohammed Lalou, Nader Mbarek, Olivier Togni

arxiv:2607.25917 v1 · 2026-07-28 · math.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3BGE7UD4QLSOUDGKJ4UMIYOFH}

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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.

Cited by

1 paper in Pith

An explicit construction of two completely independent spanning trees in the four-dimensional dual-cube

Receipt and verification

First computed	2026-07-29T01:26:11.047918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6c2627e83e417275066527946230e29e6830168315d4ba9251ac6d6b06732e3

Aliases

arxiv: 2607.25917 · arxiv_version: 2607.25917v1 · doi: 10.48550/arxiv.2607.25917 · pith_short_12: Y3BGE7UD4QLS · pith_short_16: Y3BGE7UD4QLSOUDG · pith_short_8: Y3BGE7UD

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/Y3BGE7UD4QLSOUDGKJ4UMIYOFH \
  | 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: c6c2627e83e417275066527946230e29e6830168315d4ba9251ac6d6b06732e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4faa6e61abc351faedfde62c2c63893c6e65d16a4c9fd7e89b57f7c93f6c1fe4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-28T16:08:46Z",
    "title_canon_sha256": "da2addc560bbe063b36be348992b3fe5aaf5a37db669881f8377e529be88bf65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25917",
    "kind": "arxiv",
    "version": 1
  }
}