Pith Number

pith:343YV6B6

pith:2011:343YV6B6Q4LXBMVSX55XCX2GMC

not attested not anchored not stored refs pending

Counting spanning trees of the hypercube and its $q$-analogs by explicit block diagonalization

Murali K. Srinivasan

arxiv:1104.1481 v1 · 2011-04-08 · 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{343YV6B6Q4LXBMVSX55XCX2GMC}

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	2026-05-18T04:24:44.965063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df378af83e871770b2b2bf7b715f46609118f54102b743358a14b80ed66e24e4

Aliases

arxiv: 1104.1481 · arxiv_version: 1104.1481v1 · doi: 10.48550/arxiv.1104.1481 · pith_short_12: 343YV6B6Q4LX · pith_short_16: 343YV6B6Q4LXBMVS · pith_short_8: 343YV6B6

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/343YV6B6Q4LXBMVSX55XCX2GMC \
  | 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: df378af83e871770b2b2bf7b715f46609118f54102b743358a14b80ed66e24e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3acdb463b586475cdd056a38da8a34d1ade6aec8c7fd082b12b0ba9c06ed1ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-08T05:01:16Z",
    "title_canon_sha256": "9e59392c38a366e51f8c285f7c9590fa8678a8f06aa9f5ccaf7072dbc4c63236"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1481",
    "kind": "arxiv",
    "version": 1
  }
}