Pith Number

pith:NUPIPXFW

pith:2021:NUPIPXFW64DXRZGHXZATWZMEL6

not attested not anchored not stored refs pending

A Class of Trees Having Near-Best Balance

Laura Monroe

arxiv:2108.11496 v1 · 2021-08-25 · 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{NUPIPXFW64DXRZGHXZATWZMEL6}

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	2026-07-05T03:08:57.806238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d1e87dcb6f70778e4c7be413b65845fadf30e336e8ccfe61d7fd60a1719b050

Aliases

arxiv: 2108.11496 · arxiv_version: 2108.11496v1 · doi: 10.48550/arxiv.2108.11496 · pith_short_12: NUPIPXFW64DX · pith_short_16: NUPIPXFW64DXRZGH · pith_short_8: NUPIPXFW

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/NUPIPXFW64DXRZGHXZATWZMEL6 \
  | 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: 6d1e87dcb6f70778e4c7be413b65845fadf30e336e8ccfe61d7fd60a1719b050

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4e83985c93652741c88ecc020d3660295f780debf1aee585fc8ce44669a9a3c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2021-08-25T22:17:01Z",
    "title_canon_sha256": "6d458d92bad3e04ccf2a15744a653b90759705e78406198081bd8f2fa9b3aad1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.11496",
    "kind": "arxiv",
    "version": 1
  }
}