Pith Number

pith:5D7XDKTX

pith:2011:5D7XDKTXCPRCQL5Q3K4DVQDXHQ

not attested not anchored not stored refs pending

Intervals of balanced binary trees in the Tamari lattice

Samuele Giraudo

arxiv:1107.3472 v2 · 2011-07-18 · 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{5D7XDKTXCPRCQL5Q3K4DVQDXHQ}

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	2026-05-18T03:57:25.030593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8ff71aa7713e2282fb0dab83ac0773c3ebaf31228b265437e2445009a555b35

Aliases

arxiv: 1107.3472 · arxiv_version: 1107.3472v2 · doi: 10.48550/arxiv.1107.3472 · pith_short_12: 5D7XDKTXCPRC · pith_short_16: 5D7XDKTXCPRCQL5Q · pith_short_8: 5D7XDKTX

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/5D7XDKTXCPRCQL5Q3K4DVQDXHQ \
  | 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: e8ff71aa7713e2282fb0dab83ac0773c3ebaf31228b265437e2445009a555b35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99acd0aa65356b50af159ed3bb2574bed018e403de0f79776b6ec3589137abe6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-18T15:22:00Z",
    "title_canon_sha256": "54e19dab364c1853a9056a98bf46dbfaccb152d2173a93acefc94fdd70845e08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3472",
    "kind": "arxiv",
    "version": 2
  }
}