Pith Number

pith:3KWMAEAA

pith:2026:3KWMAEAA4Q3WHJFDPD42JOSCF4

not attested not anchored not stored refs pending

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

Jitendra Prajapati

arxiv:2608.00900 v1 · 2026-08-02 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KWMAEAA4Q3WHJFDPD42JOSCF4}

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	2026-08-04T01:55:30.427619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daacc01000e43763a4a378f9a4ba422f20de9cc80c41b14ffa42701a285f0fd0

Aliases

arxiv: 2608.00900 · arxiv_version: 2608.00900v1 · doi: 10.48550/arxiv.2608.00900 · pith_short_12: 3KWMAEAA4Q3W · pith_short_16: 3KWMAEAA4Q3WHJFD · pith_short_8: 3KWMAEAA

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/3KWMAEAA4Q3WHJFDPD42JOSCF4 \
  | 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: daacc01000e43763a4a378f9a4ba422f20de9cc80c41b14ffa42701a285f0fd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7016e54f703b26b21819b2a64c65de5d93f982cbaaea247cce525ec13a857587",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-02T00:00:20Z",
    "title_canon_sha256": "d2bbc5efc40121a7c1df9b57fd3a9292be5e2595527315468aae0eda8414b315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00900",
    "kind": "arxiv",
    "version": 1
  }
}