Pith Number

pith:2JOLXIBG

pith:2011:2JOLXIBGN5URYYPO3BWOTG3F2N

not attested not anchored not stored refs pending

Linear correlations amongst numbers represented by positive definite binary quadratic forms

Lilian Matthiesen

arxiv:1106.4690 v3 · 2011-06-23 · 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{2JOLXIBGN5URYYPO3BWOTG3F2N}

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	2026-05-18T03:53:17.600932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d25cbba0266f691c61eed86ce99b65d37929a50d4a11b3fa99b6eefcf39fd15b

Aliases

arxiv: 1106.4690 · arxiv_version: 1106.4690v3 · doi: 10.48550/arxiv.1106.4690 · pith_short_12: 2JOLXIBGN5UR · pith_short_16: 2JOLXIBGN5URYYPO · pith_short_8: 2JOLXIBG

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/2JOLXIBGN5URYYPO3BWOTG3F2N \
  | 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: d25cbba0266f691c61eed86ce99b65d37929a50d4a11b3fa99b6eefcf39fd15b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e66b7ddd77e243dea59d185155ab61d86743b9f583e6260ad8928fd0113ab470",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-23T11:44:29Z",
    "title_canon_sha256": "79676dfb8b36141e4287e88d86715b88463e3b54c0c97de97a1b7091e10204e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4690",
    "kind": "arxiv",
    "version": 3
  }
}