Pith Number

pith:ECNAS6XW

pith:2017:ECNAS6XW66CSDYT76EJRBMT3RN

not attested not anchored not stored refs pending

Counting the number of non-zero coefficients in rows of generalized Pascal triangles

Julien Leroy, Manon Stipulanti, Michel Rigo

arxiv:1705.08343 v1 · 2017-05-23 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECNAS6XW66CSDYT76EJRBMT3RN}

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	2026-05-18T00:43:48.517990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

209a097af6f78521e27ff11310b27b8b701a72096d0c15d7dd193894e9aab50d

Aliases

arxiv: 1705.08343 · arxiv_version: 1705.08343v1 · doi: 10.48550/arxiv.1705.08343 · pith_short_12: ECNAS6XW66CS · pith_short_16: ECNAS6XW66CSDYT7 · pith_short_8: ECNAS6XW

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/ECNAS6XW66CSDYT76EJRBMT3RN \
  | 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: 209a097af6f78521e27ff11310b27b8b701a72096d0c15d7dd193894e9aab50d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02817e72256992a524bcc7dc8b4a9fe2991a0f0517f9ea039cd345a67c1018d0",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-23T15:03:04Z",
    "title_canon_sha256": "3571d4856feb041e327ba532254793a143a70347b6b2b57658a76f04e5431056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08343",
    "kind": "arxiv",
    "version": 1
  }
}