Pith Number

pith:RRWJRXSP

pith:2015:RRWJRXSPGBHWPUS3UI4GYHDQXE

not attested not anchored not stored refs pending

On discrete values of bilinear forms

Alex Iosevich, Misha Rudnev, Oliver Roche-Newton

arxiv:1512.02670 v1 · 2015-12-08 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RRWJRXSPGBHWPUS3UI4GYHDQXE}

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	2026-05-18T01:24:43.399814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c6c98de4f304f67d25ba2386c1c70b926f117f6cc0e6df2a9b24cb595881303

Aliases

arxiv: 1512.02670 · arxiv_version: 1512.02670v1 · doi: 10.48550/arxiv.1512.02670 · pith_short_12: RRWJRXSPGBHW · pith_short_16: RRWJRXSPGBHWPUS3 · pith_short_8: RRWJRXSP

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/RRWJRXSPGBHWPUS3UI4GYHDQXE \
  | 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: 8c6c98de4f304f67d25ba2386c1c70b926f117f6cc0e6df2a9b24cb595881303

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfce0ea1f2a2c49cf16abe3d9afa8cfdd01c3521aa02f6141650e841d35e6ab1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-08T21:51:08Z",
    "title_canon_sha256": "5ec2a3b5bb638b9e762f4c68fe086a5334e88bf3574b5c57b58acdcd3b7cd0e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02670",
    "kind": "arxiv",
    "version": 1
  }
}