Pith Number

pith:XMEIJAIY

pith:2012:XMEIJAIY2C22OWKYZXF5E4EMTJ

not attested not anchored not stored refs pending

The Number of Subtrees of Trees with Given Degree Sequence

Daniel Gray, Hua Wang, Xiao-Dong Zhang, Xiu-Mei Zhang

arxiv:1209.0275 v1 · 2012-09-03 · 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{XMEIJAIY2C22OWKYZXF5E4EMTJ}

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	2026-05-18T03:46:29.528834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb08848118d0b5a75958cdcbd2708c9a4906eade776cbeb49dacac9e3bceb6c9

Aliases

arxiv: 1209.0275 · arxiv_version: 1209.0275v1 · doi: 10.48550/arxiv.1209.0275 · pith_short_12: XMEIJAIY2C22 · pith_short_16: XMEIJAIY2C22OWKY · pith_short_8: XMEIJAIY

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/XMEIJAIY2C22OWKYZXF5E4EMTJ \
  | 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: bb08848118d0b5a75958cdcbd2708c9a4906eade776cbeb49dacac9e3bceb6c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68c301cdbddd0151cafeab48770ac7405a06b65d23f548d587e6315776e7a0b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-03T08:58:38Z",
    "title_canon_sha256": "d37219db5d8ccb8aa01b856de7686a9ad2e0aa60cf69af0f4b357b5862344060"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0275",
    "kind": "arxiv",
    "version": 1
  }
}