Pith Number

pith:YJJJP6SJ

pith:2018:YJJJP6SJHMLAEVSQMRANWDMMFM

not attested not anchored not stored refs pending

Some supercongruences of arbitrary length

Eric Delaygue, Frits Beukers

arxiv:1805.02467 v2 · 2018-05-07 · 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{YJJJP6SJHMLAEVSQMRANWDMMFM}

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	2026-05-18T00:01:53.281538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c25297fa493b160256506440db0d8c2b0d8b2ca2018db830c4f073529cb36190

Aliases

arxiv: 1805.02467 · arxiv_version: 1805.02467v2 · doi: 10.48550/arxiv.1805.02467 · pith_short_12: YJJJP6SJHMLA · pith_short_16: YJJJP6SJHMLAEVSQ · pith_short_8: YJJJP6SJ

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/YJJJP6SJHMLAEVSQMRANWDMMFM \
  | 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: c25297fa493b160256506440db0d8c2b0d8b2ca2018db830c4f073529cb36190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b2f781e8e4077eaa985c71001a98742a6813860996926870a92fff16c21b36f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-07T12:17:21Z",
    "title_canon_sha256": "b4c32e4aa11b135aa463277c7892d190d24353f3b78b76e6e6ad60de63704c53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02467",
    "kind": "arxiv",
    "version": 2
  }
}