Pith Number

pith:KPYSWV23

pith:2016:KPYSWV23IZOQY4JT5WI6JMS56L

not attested not anchored not stored refs pending

Log-concavity of rows of Pascal type triangles

Laszlo Major, Stephan Foldes

arxiv:1608.04126 v2 · 2016-08-14 · 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{KPYSWV23IZOQY4JT5WI6JMS56L}

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	2026-05-17T23:51:59.246071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53f12b575b465d0c7133ed91e4b25df2f47401a6902d66bafa17e02d432c44c2

Aliases

arxiv: 1608.04126 · arxiv_version: 1608.04126v2 · doi: 10.48550/arxiv.1608.04126 · pith_short_12: KPYSWV23IZOQ · pith_short_16: KPYSWV23IZOQY4JT · pith_short_8: KPYSWV23

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/KPYSWV23IZOQY4JT5WI6JMS56L \
  | 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: 53f12b575b465d0c7133ed91e4b25df2f47401a6902d66bafa17e02d432c44c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "866e456ca4f2b16faad231c2ecdc64c8abe04af68bd6c8e193a914319fb7380f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-14T19:23:02Z",
    "title_canon_sha256": "e4a63ff8bea76e51a5006fc8462406d7fa7f4f22d8877388e945eb323174146a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04126",
    "kind": "arxiv",
    "version": 2
  }
}