Pith Number

pith:5CCX44OF

pith:2013:5CCX44OF7UVENFQQGIYDREKDEF

not attested not anchored not stored refs pending

On the imbalance lattice of path-length sequences of binary trees

R. Radeleczki, S. Foldes

arxiv:1307.0161 v1 · 2013-06-29 · 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{5CCX44OF7UVENFQQGIYDREKDEF}

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	2026-05-18T03:19:34.149398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8857e71c5fd2a46961032303891432141a09299d86eabe2fc5fb1588422bbe9

Aliases

arxiv: 1307.0161 · arxiv_version: 1307.0161v1 · doi: 10.48550/arxiv.1307.0161 · pith_short_12: 5CCX44OF7UVE · pith_short_16: 5CCX44OF7UVENFQQ · pith_short_8: 5CCX44OF

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/5CCX44OF7UVENFQQGIYDREKDEF \
  | 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: e8857e71c5fd2a46961032303891432141a09299d86eabe2fc5fb1588422bbe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47deb219f8eefca8fce8e9fded8c1283c7a2ce96ca601e0a4bf0e31713e9dbd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-29T23:36:27Z",
    "title_canon_sha256": "a1dcf3be1b43b04921e8ecc1afc3af629526463a96da8b5fbdff0de87c9b9e1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0161",
    "kind": "arxiv",
    "version": 1
  }
}