Pith Number

pith:KL2TDVHK

pith:2018:KL2TDVHK3LCOU2CHZQ3LZL4PNA

not attested not anchored not stored refs pending

Longest increasing paths with gaps

Anne-Laure Basdevant (MODAL'X), Lucas Gerin (CMAP)

arxiv:1805.09136 v2 · 2018-05-23 · math.PR · 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{KL2TDVHK3LCOU2CHZQ3LZL4PNA}

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	2026-05-17T23:51:33.859514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52f531d4eadac4ea6847cc36bcaf8f6828fd4a6c64008b9e14fbd1d05d7b3801

Aliases

arxiv: 1805.09136 · arxiv_version: 1805.09136v2 · doi: 10.48550/arxiv.1805.09136 · pith_short_12: KL2TDVHK3LCO · pith_short_16: KL2TDVHK3LCOU2CH · pith_short_8: KL2TDVHK

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/KL2TDVHK3LCOU2CHZQ3LZL4PNA \
  | 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: 52f531d4eadac4ea6847cc36bcaf8f6828fd4a6c64008b9e14fbd1d05d7b3801

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37df77e7d6c11d18b25362c4cd088a971ac9d75476a87c64ea161e293f356eaa",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-23T13:31:54Z",
    "title_canon_sha256": "beee4838303d98fa625414805c519d66280e81d533bdcb85c0779cecd6eca8e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09136",
    "kind": "arxiv",
    "version": 2
  }
}