Pith Number

pith:VPFQZEBS

pith:2024:VPFQZEBSAMEZB3TWD2NMMDFGBF

not attested not anchored not stored refs pending

Partition regularity of generalized Pythagorean pairs

Joel Moreira, Nikos Frantzikinakis, Oleksiy Klurman

arxiv:2407.08360 v2 · 2024-07-11 · math.CO · 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{VPFQZEBSAMEZB3TWD2NMMDFGBF}

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

Partition regularity in imaginary quadratic rings of integers

Receipt and verification

First computed	2026-07-05T08:52:55.457567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abcb0c9032030990ee761e9ac60ca60949bd4f7026e50e38e53ff5779391d981

Aliases

arxiv: 2407.08360 · arxiv_version: 2407.08360v2 · doi: 10.48550/arxiv.2407.08360 · pith_short_12: VPFQZEBSAMEZ · pith_short_16: VPFQZEBSAMEZB3TW · pith_short_8: VPFQZEBS

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/VPFQZEBSAMEZB3TWD2NMMDFGBF \
  | 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: abcb0c9032030990ee761e9ac60ca60949bd4f7026e50e38e53ff5779391d981

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0e94f6927fec355145e26f5d19a5b1dbde79d8164eb3b36e57a2a4172deab2b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-07-11T10:12:34Z",
    "title_canon_sha256": "4c64a1600129098b5de3bec1eb6cc0e1f5c4942269d1bbace5d14de418843f28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.08360",
    "kind": "arxiv",
    "version": 2
  }
}