Pith Number

pith:2YNE7BIQ

pith:2016:2YNE7BIQBZV42G3PBBW3FUYFDX

not attested not anchored not stored refs pending

Reductions of Binary Trees and Lattice Paths induced by the Register Function

Benjamin Hackl, Clemens Heuberger, Helmut Prodinger

arxiv:1612.07286 v1 · 2016-12-21 · 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{2YNE7BIQBZV42G3PBBW3FUYFDX}

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	2026-05-18T00:27:36.420876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d61a4f85100e6bcd1b6f086db2d3051dc31e3b390c1e0144292f0c8e72675fda

Aliases

arxiv: 1612.07286 · arxiv_version: 1612.07286v1 · doi: 10.48550/arxiv.1612.07286 · pith_short_12: 2YNE7BIQBZV4 · pith_short_16: 2YNE7BIQBZV42G3P · pith_short_8: 2YNE7BIQ

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/2YNE7BIQBZV42G3PBBW3FUYFDX \
  | 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: d61a4f85100e6bcd1b6f086db2d3051dc31e3b390c1e0144292f0c8e72675fda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41f9c56b8ad87e9001f9dedf2e9a6b0ceb6d66345a05faffd5fa263e5e49fad3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-21T19:38:46Z",
    "title_canon_sha256": "ca9b78f092b82fbc06dea66ddd4744074f48aace40b871d89e5f53e1176da682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07286",
    "kind": "arxiv",
    "version": 1
  }
}