Pith Number

pith:KT7UKKCQ

pith:2016:KT7UKKCQMBWEYSJCMVWMCI3IGE

not attested not anchored not stored refs pending

On integer solutions to x^5 - (x+1)^5 -(x+2)^5 +(x+3)^5 = 5^m + 5^n

Aleksander Zujev, Geoffrey B Campbell

arxiv:1603.00080 v1 · 2016-02-29 · 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{KT7UKKCQMBWEYSJCMVWMCI3IGE}

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	2026-05-18T01:19:49.235935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54ff452850606c4c4922656cc1236831074e62ab57189e497b78e8c3b5baefe5

Aliases

arxiv: 1603.00080 · arxiv_version: 1603.00080v1 · doi: 10.48550/arxiv.1603.00080 · pith_short_12: KT7UKKCQMBWE · pith_short_16: KT7UKKCQMBWEYSJC · pith_short_8: KT7UKKCQ

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/KT7UKKCQMBWEYSJCMVWMCI3IGE \
  | 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: 54ff452850606c4c4922656cc1236831074e62ab57189e497b78e8c3b5baefe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d75d1a4921a8cafeded569d732ec301036e7b644acd301cd7349adbc95bb46f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-29T22:43:35Z",
    "title_canon_sha256": "cba7c781f04f7c3c32c0e48a855ec4f4ea64be8c8349c86d3cfc74f9567109ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00080",
    "kind": "arxiv",
    "version": 1
  }
}