Pith Number

pith:JTRZF4AV

pith:2014:JTRZF4AVDKCFAO46AKN2GOJS3A

not attested not anchored not stored refs pending

Amicable pairs and aliquot cycles on average

James Parks

arxiv:1403.5810 v1 · 2014-03-23 · 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{JTRZF4AVDKCFAO46AKN2GOJS3A}

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	2026-05-18T01:37:28.864539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ce392f0151a84503b9e029ba33932d838b00e8854cc55cd6932975157dff6b4

Aliases

arxiv: 1403.5810 · arxiv_version: 1403.5810v1 · doi: 10.48550/arxiv.1403.5810 · pith_short_12: JTRZF4AVDKCF · pith_short_16: JTRZF4AVDKCFAO46 · pith_short_8: JTRZF4AV

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/JTRZF4AVDKCFAO46AKN2GOJS3A \
  | 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: 4ce392f0151a84503b9e029ba33932d838b00e8854cc55cd6932975157dff6b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3799e921ec6e4170fb8d3610928c1f24de7389246c70a09046570e4adaaee54d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-23T22:39:54Z",
    "title_canon_sha256": "0cbacd2293f4cc66fc65c31da9b414524e2aed65803f1c0dfac74ba2a97a99b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5810",
    "kind": "arxiv",
    "version": 1
  }
}