Pith Number

pith:E3B3CS5Q

pith:2015:E3B3CS5Q22LAQGRD7IZHY5A5WD

not attested not anchored not stored refs pending

The number and degree distribution of spanning trees in the Tower of Hanoi graph

Francesc Comellas, Mingyun Li, Shunqi Wu, Zhongzhi Zhang

arxiv:1510.07949 v2 · 2015-10-27 · cs.DM · 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{E3B3CS5Q22LAQGRD7IZHY5A5WD}

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	2026-05-18T01:17:52.335965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26c3b14bb0d696081a23fa327c741db0c63d21f9b9fac3827ae79d2a474c7d4e

Aliases

arxiv: 1510.07949 · arxiv_version: 1510.07949v2 · doi: 10.48550/arxiv.1510.07949 · pith_short_12: E3B3CS5Q22LA · pith_short_16: E3B3CS5Q22LAQGRD · pith_short_8: E3B3CS5Q

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/E3B3CS5Q22LAQGRD7IZHY5A5WD \
  | 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: 26c3b14bb0d696081a23fa327c741db0c63d21f9b9fac3827ae79d2a474c7d4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b35050f38ddcc6691c36ea83fe2723cec62229bab89f99934c62f6cff15a7d5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-10-27T15:58:41Z",
    "title_canon_sha256": "da4b6f132806cb4477425c3631bb64d8dca69ea8e962832007cd18fdf17108b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07949",
    "kind": "arxiv",
    "version": 2
  }
}