Pith Number

pith:7BBESBNL

pith:2011:7BBESBNLNNVSYEXLXVW2LNX3P2

not attested not anchored not stored refs pending

On the Discrepancy of the Roots of $x^2+1$ and $x^2+2$ to Prime Moduli

Timothy Foo

arxiv:1103.1253 v3 · 2011-03-07 · 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{7BBESBNLNNVSYEXLXVW2LNX3P2}

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	2026-05-18T03:44:13.769323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8424905ab6b6b2c12ebbd6da5b6fb7e9e641d8866095803db167a330e075bc6

Aliases

arxiv: 1103.1253 · arxiv_version: 1103.1253v3 · doi: 10.48550/arxiv.1103.1253 · pith_short_12: 7BBESBNLNNVS · pith_short_16: 7BBESBNLNNVSYEXL · pith_short_8: 7BBESBNL

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/7BBESBNLNNVSYEXLXVW2LNX3P2 \
  | 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: f8424905ab6b6b2c12ebbd6da5b6fb7e9e641d8866095803db167a330e075bc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d5f050d2b6269503e22b27973c0e5c67f68e1f35c72692fd0d8fb2370ff7991",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-07T11:34:08Z",
    "title_canon_sha256": "cf2aa53f5d114b712f0f830e41da0d7a16fe01d30d1d4286e8f7434c4d00447d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1253",
    "kind": "arxiv",
    "version": 3
  }
}