Pith Number

pith:HJ7E5EH2

pith:2017:HJ7E5EH2D7XV4BINNLYQPAO7MM

not attested not anchored not stored refs pending

Computational Experiments on $a^4+b^4+c^4+d^4=(a+b+c+d)^4$

Allan J. MacLeod

arxiv:1704.03200 v1 · 2017-04-11 · 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{HJ7E5EH2D7XV4BINNLYQPAO7MM}

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	2026-05-18T00:46:33.196451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a7e4e90fa1fef5e050d6af10781df632d3c6c5b6933a95b029b28b4a31e44e8

Aliases

arxiv: 1704.03200 · arxiv_version: 1704.03200v1 · doi: 10.48550/arxiv.1704.03200 · pith_short_12: HJ7E5EH2D7XV · pith_short_16: HJ7E5EH2D7XV4BIN · pith_short_8: HJ7E5EH2

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/HJ7E5EH2D7XV4BINNLYQPAO7MM \
  | 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: 3a7e4e90fa1fef5e050d6af10781df632d3c6c5b6933a95b029b28b4a31e44e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16fd39bfa8a61d9e43917f0dbb5c0a9081bfe2a89e34d0d36005dc476cc7607c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-11T08:57:33Z",
    "title_canon_sha256": "0298026348c3f5cdb5c75f97c3f099d40818c8367ec3720d3eee3ec12c86a681"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03200",
    "kind": "arxiv",
    "version": 1
  }
}