Pith Number

pith:LWZ4ZLAG

pith:2011:LWZ4ZLAGVVCWZQ62NRTUXH2EKS

not attested not anchored not stored refs pending

KP solitons, higher Bruhat and Tamari orders

Aristophanes Dimakis, Folkert Mueller-Hoissen

arxiv:1110.3507 v2 · 2011-10-16 · math.CO · math-ph · math.MP · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWZ4ZLAGVVCWZQ62NRTUXH2EKS}

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	2026-05-18T04:09:24.989207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5db3ccac06ad456cc3da6c674b9f4454bf869e148c2d872a71832698171b7a31

Aliases

arxiv: 1110.3507 · arxiv_version: 1110.3507v2 · doi: 10.48550/arxiv.1110.3507 · pith_short_12: LWZ4ZLAGVVCW · pith_short_16: LWZ4ZLAGVVCWZQ62 · pith_short_8: LWZ4ZLAG

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/LWZ4ZLAGVVCWZQ62NRTUXH2EKS \
  | 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: 5db3ccac06ad456cc3da6c674b9f4454bf869e148c2d872a71832698171b7a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "565d8793ae49ca141c28268465ae8ccc294b175d41eadf2d7162238533bcb1c1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-16T17:53:46Z",
    "title_canon_sha256": "5504d4f8e6299718e175164b1051f25c43a15db0a6e1d93fe42af0e646291c8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3507",
    "kind": "arxiv",
    "version": 2
  }
}