Pith Number

pith:2N6JUPBD

pith:2012:2N6JUPBDU35RDFOMQTCEPUQBTA

not attested not anchored not stored refs pending

Threefield identities and simultaneous representations of primes by binary quadratic forms

Eric Mortenson

arxiv:1208.1412 v1 · 2012-08-07 · 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{2N6JUPBDU35RDFOMQTCEPUQBTA}

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	2026-05-18T02:45:05.190468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d37c9a3c23a6fb1195cc84c447d2019829515e3df0d489d11cc59c310a250396

Aliases

arxiv: 1208.1412 · arxiv_version: 1208.1412v1 · doi: 10.48550/arxiv.1208.1412 · pith_short_12: 2N6JUPBDU35R · pith_short_16: 2N6JUPBDU35RDFOM · pith_short_8: 2N6JUPBD

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/2N6JUPBDU35RDFOMQTCEPUQBTA \
  | 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: d37c9a3c23a6fb1195cc84c447d2019829515e3df0d489d11cc59c310a250396

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "089af1f0c6e83af00efe12f11fecae50052322d441d7fb5e4f8403e4e1de893a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-07T12:49:02Z",
    "title_canon_sha256": "fbea3873e9cc340ef583dacdf0c0a56e21e70d13efde24583a57b64a75bb1182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1412",
    "kind": "arxiv",
    "version": 1
  }
}