Pith Number

pith:LYCWOEFF

pith:2017:LYCWOEFFAYMLDB27M7T5S5PNRN

not attested not anchored not stored refs pending

A tightness property of relatively smooth permutations

Erez Lapid

arxiv:1710.06115 v1 · 2017-10-17 · 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{LYCWOEFFAYMLDB27M7T5S5PNRN}

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	2026-05-17T23:48:34.501298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e056710a50618b1875f67e7d975ed8b759d4b091600b04eab9e373268623983

Aliases

arxiv: 1710.06115 · arxiv_version: 1710.06115v1 · doi: 10.48550/arxiv.1710.06115 · pith_short_12: LYCWOEFFAYML · pith_short_16: LYCWOEFFAYMLDB27 · pith_short_8: LYCWOEFF

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/LYCWOEFFAYMLDB27M7T5S5PNRN \
  | 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: 5e056710a50618b1875f67e7d975ed8b759d4b091600b04eab9e373268623983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e06d9f42bbb56912e89a3c0260c78b9c78042dbf2d6824d2982df517ed71f34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-17T06:15:23Z",
    "title_canon_sha256": "0bb73fca5736733cb7fcc0ba208770ab3b2b9d4cddbbb81d04a2474c4612eda7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06115",
    "kind": "arxiv",
    "version": 1
  }
}