Pith Number

pith:ULBHDXVZ

pith:2023:ULBHDXVZUY52J2A2GDMWPW35ZA

not attested not anchored not stored refs pending

The sum of two cubes problem -- an approach that's classroom friendly

Paul Monsky

arxiv:2309.00162 v1 · 2023-08-31 · math.HO · 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{ULBHDXVZUY52J2A2GDMWPW35ZA}

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.

Cited by

1 paper in Pith

A proof of the $4,7$ cases of Sylvester's conjecture on cube sums

Receipt and verification

First computed	2026-07-05T06:46:53.098550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2c271deb9a63ba4e81a30d967db7dc82713babd156be3f08c22576fe3a5f829

Aliases

arxiv: 2309.00162 · arxiv_version: 2309.00162v1 · doi: 10.48550/arxiv.2309.00162 · pith_short_12: ULBHDXVZUY52 · pith_short_16: ULBHDXVZUY52J2A2 · pith_short_8: ULBHDXVZ

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/ULBHDXVZUY52J2A2GDMWPW35ZA \
  | 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: a2c271deb9a63ba4e81a30d967db7dc82713babd156be3f08c22576fe3a5f829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2391d7705fb42a8b65e0705b071cd8be595eb2c05d61fa6fc98b67da8ba70237",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2023-08-31T22:51:37Z",
    "title_canon_sha256": "0bbbce4758822c85b3490f6b1216748fc13c7787648866c901eb87fc23996a79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.00162",
    "kind": "arxiv",
    "version": 1
  }
}