Pith Number

pith:4DBACYLM

pith:2017:4DBACYLM6IUUTRKTISRWHXT6WU

not attested not anchored not stored refs pending

A universal tree balancing theorem

Markus Lohrey, Moses Ganardi

arxiv:1704.08705 v3 · 2017-04-27 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DBACYLM6IUUTRKTISRWHXT6WU}

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	2026-05-18T00:32:43.333646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0c201616cf22949c55344a363de7eb50ad4476a49def5e9d2a54b2653902be2

Aliases

arxiv: 1704.08705 · arxiv_version: 1704.08705v3 · doi: 10.48550/arxiv.1704.08705 · pith_short_12: 4DBACYLM6IUU · pith_short_16: 4DBACYLM6IUUTRKT · pith_short_8: 4DBACYLM

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/4DBACYLM6IUUTRKTISRWHXT6WU \
  | 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: e0c201616cf22949c55344a363de7eb50ad4476a49def5e9d2a54b2653902be2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7c4ed79972aafaea7caf6fe036ff3908493f2151ac79d26b1686d256abf774c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2017-04-27T18:15:50Z",
    "title_canon_sha256": "11654b7bc813a2a259e3a02a9db38a951f29085f9e231385be630e898f5f70f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08705",
    "kind": "arxiv",
    "version": 3
  }
}