Pith Number

pith:MMOASN46

pith:2018:MMOASN464DDMJMC6ZTMCLQOHMV

not attested not anchored not stored refs pending

A bijection between ternary trees and a subclass of Motzkin paths

Helmut Prodinger, Sarah J. Selkirk

arxiv:1808.01907 v2 · 2018-08-06 · 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{MMOASN464DDMJMC6ZTMCLQOHMV}

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	2026-05-18T00:07:57.968515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

631c09379ee0c6c4b05eccd825c1c7655b8560cec034655899c0f9a480068fbd

Aliases

arxiv: 1808.01907 · arxiv_version: 1808.01907v2 · doi: 10.48550/arxiv.1808.01907 · pith_short_12: MMOASN464DDM · pith_short_16: MMOASN464DDMJMC6 · pith_short_8: MMOASN46

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/MMOASN464DDMJMC6ZTMCLQOHMV \
  | 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: 631c09379ee0c6c4b05eccd825c1c7655b8560cec034655899c0f9a480068fbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3ca5b4215f4633aba82cf10084b8e3c6d8f62e5b96014c1f5d1570317ef3ed1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-06T13:52:19Z",
    "title_canon_sha256": "2b97bffa5417adc5826e6e6d48403890f9821e9d801a6d7d431972f254211e8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01907",
    "kind": "arxiv",
    "version": 2
  }
}