Pith Number

pith:TQRJ46CP

pith:2019:TQRJ46CPB3KJIPSW5ER62KYBLS

not attested not anchored not stored refs pending

Structural properties of non-crossing partitions from algebraic and geometric perspectives

Julia Heller

arxiv:1903.06426 v1 · 2019-03-15 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQRJ46CPB3KJIPSW5ER62KYBLS}

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	2026-05-17T23:51:10.885331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c229e784f0ed4943e56e923ed2b015c9b7b256fdd008f8c89a647ff82a437f2

Aliases

arxiv: 1903.06426 · arxiv_version: 1903.06426v1 · doi: 10.48550/arxiv.1903.06426 · pith_short_12: TQRJ46CPB3KJ · pith_short_16: TQRJ46CPB3KJIPSW · pith_short_8: TQRJ46CP

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/TQRJ46CPB3KJIPSW5ER62KYBLS \
  | 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: 9c229e784f0ed4943e56e923ed2b015c9b7b256fdd008f8c89a647ff82a437f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05f165ab54fda4d0a73c6776657078453a7c90a3469368bd1e14bdb4d9623e9d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-15T09:26:58Z",
    "title_canon_sha256": "d7013bf56911ed2f20e68613450ad846f0b7ffd093fd4373cde2c853cf42a21d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06426",
    "kind": "arxiv",
    "version": 1
  }
}