Pith Number

pith:M7EV5PWD

pith:2019:M7EV5PWDPCA2SOM3OHSEZOC3CN

not attested not anchored not stored refs pending

The Relation between Composability and Splittability of Permutation Classes

Rachel Zhang

arxiv:1908.02731 v3 · 2019-08-07 · 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{M7EV5PWDPCA2SOM3OHSEZOC3CN}

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	2026-07-05T01:59:26.388089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67c95ebec37881a9399b71e44cb85b134fd4905a4c8bc818ea2fe184631828d4

Aliases

arxiv: 1908.02731 · arxiv_version: 1908.02731v3 · doi: 10.48550/arxiv.1908.02731 · pith_short_12: M7EV5PWDPCA2 · pith_short_16: M7EV5PWDPCA2SOM3 · pith_short_8: M7EV5PWD

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/M7EV5PWDPCA2SOM3OHSEZOC3CN \
  | 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: 67c95ebec37881a9399b71e44cb85b134fd4905a4c8bc818ea2fe184631828d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d8a1d1231e1e1a1bbbdcfe23904b572ccbf9c51cd01ff04ca66ab364a0531f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-07T17:06:02Z",
    "title_canon_sha256": "2db94dc1c8b1c48abf9a262ed8b8336a685838a89ab88f883ca47bd0ac703450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02731",
    "kind": "arxiv",
    "version": 3
  }
}