Pith Number

pith:7TIN4UUH

pith:2016:7TIN4UUHO26X6AMCSPLLPUYE6S

not attested not anchored not stored refs pending

Counting spanning trees on fractal graphs and their asymptotic complexity

Jason A. Anema, Konstantinos Tsougkas

arxiv:1602.01996 v1 · 2016-02-05 · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7TIN4UUHO26X6AMCSPLLPUYE6S}

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	2026-05-18T01:08:12.027967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcd0de528776bd7f018293d6b7d304f4aa3d936c26647ea88d273cafc92c8c04

Aliases

arxiv: 1602.01996 · arxiv_version: 1602.01996v1 · doi: 10.48550/arxiv.1602.01996 · pith_short_12: 7TIN4UUHO26X · pith_short_16: 7TIN4UUHO26X6AMC · pith_short_8: 7TIN4UUH

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/7TIN4UUHO26X6AMCSPLLPUYE6S \
  | 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: fcd0de528776bd7f018293d6b7d304f4aa3d936c26647ea88d273cafc92c8c04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67bb865a465109f0609f8c393bd4c2a72bfa1532a9d681dd295837a261a6460f",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-05T12:00:38Z",
    "title_canon_sha256": "6f494c4a2c50f1440d2076fda6adf049d09fde0c95474f5345cfd4c027909b88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01996",
    "kind": "arxiv",
    "version": 1
  }
}