Pith Number

pith:YDP65TLS

pith:2019:YDP65TLSRBKIBNTMSME6PMHLK2

not attested not anchored not stored refs pending

On permutations derived from integer powers $x^n$

John S. McCaskill, Peter R.Wills

arxiv:1907.01890 v1 · 2019-06-25 · 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{YDP65TLSRBKIBNTMSME6PMHLK2}

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	2026-05-17T23:41:34.635906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0dfeecd72885480b66c9309e7b0eb56b098af040811069e36cf8e44e7fc1a97

Aliases

arxiv: 1907.01890 · arxiv_version: 1907.01890v1 · doi: 10.48550/arxiv.1907.01890 · pith_short_12: YDP65TLSRBKI · pith_short_16: YDP65TLSRBKIBNTM · pith_short_8: YDP65TLS

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/YDP65TLSRBKIBNTMSME6PMHLK2 \
  | 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: c0dfeecd72885480b66c9309e7b0eb56b098af040811069e36cf8e44e7fc1a97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2f65e59afd7850a22b6e03b5dd07b29af2cfae6e4db9791ebe5bcb9cf461990",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-25T14:42:21Z",
    "title_canon_sha256": "24d67a2b246291be31fb227253f5631b4397ce6318034db2144d0dbea0f181e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01890",
    "kind": "arxiv",
    "version": 1
  }
}