Pith Number

pith:V43BIF6P

pith:2016:V43BIF6PUR7UPS766A5GGXSXIB

not attested not anchored not stored refs pending

On the Number of Rainbow Spanning Trees in Edge-Colored Complete Graphs

C. A. Rodger, Hung-Lin Fu, K. E. Perry, Yuan-Hsun Lo

arxiv:1605.04501 v2 · 2016-05-15 · 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{V43BIF6PUR7UPS766A5GGXSXIB}

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	2026-05-18T00:16:39.168600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af361417cfa47f47cbfef03a635e5740470d3cd74f26905bf4f2992966739dc0

Aliases

arxiv: 1605.04501 · arxiv_version: 1605.04501v2 · doi: 10.48550/arxiv.1605.04501 · pith_short_12: V43BIF6PUR7U · pith_short_16: V43BIF6PUR7UPS76 · pith_short_8: V43BIF6P

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/V43BIF6PUR7UPS766A5GGXSXIB \
  | 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: af361417cfa47f47cbfef03a635e5740470d3cd74f26905bf4f2992966739dc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "102858e70d87dac0280f6fd59e17125177a73e86d9883768713744f4dae68581",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-15T06:45:45Z",
    "title_canon_sha256": "ddfe0b5b2c46c0dddc0a6924a43be89e00b5878370a9a906cbc2c5486eb72082"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04501",
    "kind": "arxiv",
    "version": 2
  }
}