Pith Number

pith:DMDW2TRL

pith:2021:DMDW2TRL3CUMPKM34K7CUZIP6S

not attested not anchored not stored refs pending

The $(k,l)$-Euler theorem and the combinatorics of $(k,l)$-sequences

Isaac Konan

arxiv:2106.08057 v2 · 2021-06-15 · math.CO · 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{DMDW2TRL3CUMPKM34K7CUZIP6S}

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.

Cited by

1 paper in Pith

Towards Provably Fair Machine Learning: Bayesian Approaches For Consistent and Transparent Predictions

Receipt and verification

First computed	2026-07-05T02:49:56.566533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b076d4e2bd8a8c7a99be2be2a650ff48e9b384681e761d09217233a0c2b91f6

Aliases

arxiv: 2106.08057 · arxiv_version: 2106.08057v2 · doi: 10.48550/arxiv.2106.08057 · pith_short_12: DMDW2TRL3CUM · pith_short_16: DMDW2TRL3CUMPKM3 · pith_short_8: DMDW2TRL

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/DMDW2TRL3CUMPKM34K7CUZIP6S \
  | 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: 1b076d4e2bd8a8c7a99be2be2a650ff48e9b384681e761d09217233a0c2b91f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef70913ac9a216ec698dc6979ea52a85d28ec869acb579ef5b83c9a2e07cfab5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-06-15T11:30:08Z",
    "title_canon_sha256": "7f7d5e4f7423417410c7b336928fe549731670a72055a2f4bff6d2a8ac9b564b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.08057",
    "kind": "arxiv",
    "version": 2
  }
}