Pith Number

pith:GXXT6A5R

pith:2017:GXXT6A5RKKXQMYNKVPLNYIL6RX

not attested not anchored not stored refs pending

Generalized Pascal triangle for binomial coefficients of words

Julien Leroy, Manon Stipulanti, Michel Rigo

arxiv:1705.08270 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{GXXT6A5RKKXQMYNKVPLNYIL6RX}

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	2026-05-18T00:43:48.825652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35ef3f03b152af0661aaabd6dc217e8de8f7a87bd9b0b0c508456612108e5acc

Aliases

arxiv: 1705.08270 · arxiv_version: 1705.08270v1 · doi: 10.48550/arxiv.1705.08270 · pith_short_12: GXXT6A5RKKXQ · pith_short_16: GXXT6A5RKKXQMYNK · pith_short_8: GXXT6A5R

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/GXXT6A5RKKXQMYNKVPLNYIL6RX \
  | 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: 35ef3f03b152af0661aaabd6dc217e8de8f7a87bd9b0b0c508456612108e5acc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60f3cf8bd320e0ba4563f54bd9f08914de7b341194307465bf22809545a5aa7f",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-23T13:55:34Z",
    "title_canon_sha256": "aea4d5527d920fedf88ebd9f659aa46787568a9c88f34f7c9e687826b26fd7c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08270",
    "kind": "arxiv",
    "version": 1
  }
}