Pith Number

pith:ILX43ZKE

pith:2016:ILX43ZKEHTQOYKWZE6EOULRIHI

not attested not anchored not stored refs pending

Classically Integral Quadratic Forms Excepting at Most Two Values

Andres Mejia, Frederick Saia, Katherine Thompson, Madeleine Barowsky, Nolan Schock, William Damron

arxiv:1608.01656 v1 · 2016-08-04 · 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{ILX43ZKEHTQOYKWZE6EOULRIHI}

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	2026-05-18T01:09:51.866230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42efcde5443ce0ec2ad92788ea2e283a0269fb17de9c5e75e428e9b872d8f62c

Aliases

arxiv: 1608.01656 · arxiv_version: 1608.01656v1 · doi: 10.48550/arxiv.1608.01656 · pith_short_12: ILX43ZKEHTQO · pith_short_16: ILX43ZKEHTQOYKWZ · pith_short_8: ILX43ZKE

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/ILX43ZKEHTQOYKWZE6EOULRIHI \
  | 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: 42efcde5443ce0ec2ad92788ea2e283a0269fb17de9c5e75e428e9b872d8f62c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76f2f7273d83d6c7eeed70e702782555f55a8cb0a09ca52b2f304f16ba525e11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-04T19:44:34Z",
    "title_canon_sha256": "98b2ed3041d51d50a3bcb73de08602d3fef0c6a089d5f26aff134dd53f104957"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01656",
    "kind": "arxiv",
    "version": 1
  }
}