Pith Number

pith:XWQ4LN7B

pith:2016:XWQ4LN7BD5MDO5LVSVRECCE2X4

not attested not anchored not stored refs pending

On the number of lattice convex chains

Julien Bureaux (MODAL'X), Modal'x), Nathana\"el Enriquez (LPMA

arxiv:1603.09587 v2 · 2016-03-31 · 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{XWQ4LN7BD5MDO5LVSVRECCE2X4}

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	2026-05-18T00:55:25.200709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bda1c5b7e11f58377575956241089abf36095784d526bffd7bb4d121a732af1e

Aliases

arxiv: 1603.09587 · arxiv_version: 1603.09587v2 · doi: 10.48550/arxiv.1603.09587 · pith_short_12: XWQ4LN7BD5MD · pith_short_16: XWQ4LN7BD5MDO5LV · pith_short_8: XWQ4LN7B

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/XWQ4LN7BD5MDO5LVSVRECCE2X4 \
  | 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: bda1c5b7e11f58377575956241089abf36095784d526bffd7bb4d121a732af1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b2cdfcf54749e2e24fa393915ef811b8fdd61355728cdce19effadbec16324e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-31T13:30:32Z",
    "title_canon_sha256": "a49572a35521b3ec83a85089acce525980dbff84977142c22e91ab68be64c127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09587",
    "kind": "arxiv",
    "version": 2
  }
}