Pith Number

pith:U3TMEWA2

pith:2015:U3TMEWA2JGRRMWKGPIRHT2ALH6

not attested not anchored not stored refs pending

The enumeration of generalized Tamari intervals

Louis-Fran\c{c}ois Pr\'eville-Ratelle, Wenjie Fang

arxiv:1511.05937 v3 · 2015-11-18 · 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{U3TMEWA2JGRRMWKGPIRHT2ALH6}

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	2026-05-18T01:00:12.655243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6e6c2581a49a31659467a2279e80b3fa8aa97c935b20de5007c6a362e69544e

Aliases

arxiv: 1511.05937 · arxiv_version: 1511.05937v3 · doi: 10.48550/arxiv.1511.05937 · pith_short_12: U3TMEWA2JGRR · pith_short_16: U3TMEWA2JGRRMWKG · pith_short_8: U3TMEWA2

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/U3TMEWA2JGRRMWKGPIRHT2ALH6 \
  | 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: a6e6c2581a49a31659467a2279e80b3fa8aa97c935b20de5007c6a362e69544e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3d45239945cb206fc7bb1360b95a5485ea8cea5762ac09edc76ff13d7c8a3cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-18T20:38:27Z",
    "title_canon_sha256": "aaa332455a622e9bcd41b86496d89b56053aa5527d11323900e9ce13755c07d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05937",
    "kind": "arxiv",
    "version": 3
  }
}