Pith Number

pith:SD7YXLDK

pith:2019:SD7YXLDK6H5ICFEZ4TQJRKVM4H

not attested not anchored not stored refs pending

On the Diophantine equation $\binom{n}{k}=\binom{m}{l}+d$

Homero R. Gallegos-Ruiz, Maciej Ulas, Nikolaos Katsipis, Szabolcs Tengely

arxiv:1904.11369 v1 · 2019-04-25 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SD7YXLDK6H5ICFEZ4TQJRKVM4H}

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	2026-05-17T23:47:45.092903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90ff8bac6af1fa811499e4e098aaace1f51c1a37eea073b1686c9c4a80109e71

Aliases

arxiv: 1904.11369 · arxiv_version: 1904.11369v1 · doi: 10.48550/arxiv.1904.11369 · pith_short_12: SD7YXLDK6H5I · pith_short_16: SD7YXLDK6H5ICFEZ · pith_short_8: SD7YXLDK

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/SD7YXLDK6H5ICFEZ4TQJRKVM4H \
  | 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: 90ff8bac6af1fa811499e4e098aaace1f51c1a37eea073b1686c9c4a80109e71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54a7670998ae45fac1fe286cf7f49bbbb566ef1ce2dae69f454e1694c70033eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-04-25T14:24:28Z",
    "title_canon_sha256": "fd0dc67361990af3ba7dbeaa0baf604f61be6fceba55a43ef92b18b5709833c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11369",
    "kind": "arxiv",
    "version": 1
  }
}