Pith Number

pith:RH34BA6Y

pith:2021:RH34BA6Y6UGKFPCDUFFESL252Y

not attested not anchored not stored refs pending

Positive integer solutions to $(x+y)^2+(y+z)^2+(z+x)^2=12xyz$

Yasuaki Gyoda

arxiv:2109.09639 v4 · 2021-09-20 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RH34BA6Y6UGKFPCDUFFESL252Y}

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

2 papers in Pith

Generalized discrete Markov spectra

Orderings of Generalized k-Markov Numbers

Receipt and verification

First computed	2026-07-05T04:58:14.418742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89f7c083d8f50ca2bc43a14a492f5dd61fd89cc8ddd11d49fd27ce74a9f09f3e

Aliases

arxiv: 2109.09639 · arxiv_version: 2109.09639v4 · doi: 10.48550/arxiv.2109.09639 · pith_short_12: RH34BA6Y6UGK · pith_short_16: RH34BA6Y6UGKFPCD · pith_short_8: RH34BA6Y

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/RH34BA6Y6UGKFPCDUFFESL252Y \
  | 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: 89f7c083d8f50ca2bc43a14a492f5dd61fd89cc8ddd11d49fd27ce74a9f09f3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01004a8b422b8c68a45227f7c848c65c65049f397952c243f97c9b2cf1b1633e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-09-20T15:46:47Z",
    "title_canon_sha256": "9278dc059a6d8a398f9b90c8cf8e5c3d89196ab342422e6340f0b043d78e5bee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.09639",
    "kind": "arxiv",
    "version": 4
  }
}