Pith Number

pith:NUKT4WFE

pith:2026:NUKT4WFETL4KIFE76CCPPYFD6J

not attested not anchored not stored refs pending

The least quadratic residue and integers represented by quadratic forms

Jo\~ao C. C. Vargas, Kannan Soundararajan

arxiv:2607.29566 v1 · 2026-07-31 · 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{NUKT4WFETL4KIFE76CCPPYFD6J}

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	2026-08-03T01:38:48.734883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d153e58a49af8a4149ff084f7e0a3f24d746740e6969f2fe7d55111a3c95c94

Aliases

arxiv: 2607.29566 · arxiv_version: 2607.29566v1 · doi: 10.48550/arxiv.2607.29566 · pith_short_12: NUKT4WFETL4K · pith_short_16: NUKT4WFETL4KIFE7 · pith_short_8: NUKT4WFE

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/NUKT4WFETL4KIFE76CCPPYFD6J \
  | 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: 6d153e58a49af8a4149ff084f7e0a3f24d746740e6969f2fe7d55111a3c95c94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd7042897b398ddd27487a77d0a807ddc1a44ea3e48031b1f5e30d04ae4a0c0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-31T15:55:33Z",
    "title_canon_sha256": "ba7b3659de4e5b851177a6104b831d2133c6974fe3cc1acb22032883fff7b92b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29566",
    "kind": "arxiv",
    "version": 1
  }
}