Pith Number

pith:UTW63RIS

pith:2016:UTW63RISMVWC4NFPBKQ5IBTMBV

not attested not anchored not stored refs pending

Monotone Subsequences in High-Dimensional Permutations

Michael Simkin, Nathan Linial

arxiv:1602.02719 v1 · 2016-02-08 · 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{UTW63RISMVWC4NFPBKQ5IBTMBV}

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	2026-05-18T00:32:21.506309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4ededc512656c2e34af0aa1d4066c0d69036c9b3d7929ec7314645fad4c3432

Aliases

arxiv: 1602.02719 · arxiv_version: 1602.02719v1 · doi: 10.48550/arxiv.1602.02719 · pith_short_12: UTW63RISMVWC · pith_short_16: UTW63RISMVWC4NFP · pith_short_8: UTW63RIS

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/UTW63RISMVWC4NFPBKQ5IBTMBV \
  | 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: a4ededc512656c2e34af0aa1d4066c0d69036c9b3d7929ec7314645fad4c3432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e731d499629deb0c5c47a4f77f4b4ef9012367b439f32d3ade50ff0d39f238be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-08T20:03:15Z",
    "title_canon_sha256": "c60879157e354db489629f3c2e4bbd621fc71a3032dadda4adff5638e4682fb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02719",
    "kind": "arxiv",
    "version": 1
  }
}