Pith Number

pith:CVA5RZ3U

pith:2015:CVA5RZ3ULJKHOAAIA2L2QJXDDV

not attested not anchored not stored refs pending

A transference approach to a Roth-type theorem in the squares

Sean Prendiville, Tim Browning

arxiv:1510.00136 v2 · 2015-10-01 · math.NT · 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{CVA5RZ3ULJKHOAAIA2L2QJXDDV}

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	2026-05-18T01:24:24.320501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1541d8e7745a547700080697a826e31d58c1d7e5e360b93445cf99b1b0002b64

Aliases

arxiv: 1510.00136 · arxiv_version: 1510.00136v2 · doi: 10.48550/arxiv.1510.00136 · pith_short_12: CVA5RZ3ULJKH · pith_short_16: CVA5RZ3ULJKHOAAI · pith_short_8: CVA5RZ3U

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/CVA5RZ3ULJKHOAAIA2L2QJXDDV \
  | 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: 1541d8e7745a547700080697a826e31d58c1d7e5e360b93445cf99b1b0002b64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d150882fe4acb45cdb951cb986f4dcd504070cf5e860a2d73dce3488ca182666",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-01T08:10:33Z",
    "title_canon_sha256": "70f0df707a8a70b1961b57e2b489d9dcc8a4f6fd629e4955de018b98c878bd18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00136",
    "kind": "arxiv",
    "version": 2
  }
}