Pith Number

pith:ORDRLBRR

pith:2014:ORDRLBRRSIOTZMA6VOQIN55XCZ

not attested not anchored not stored refs pending

Few products, many h-fold sums

Albert Bush, Ernie Croot

arxiv:1409.7349 v4 · 2014-09-25 · math.CO · 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{ORDRLBRRSIOTZMA6VOQIN55XCZ}

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	2026-05-18T02:39:47.804846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7447158631921d3cb01eaba086f7b7166bf48ea132f5404f9165ea502aff4f8a

Aliases

arxiv: 1409.7349 · arxiv_version: 1409.7349v4 · doi: 10.48550/arxiv.1409.7349 · pith_short_12: ORDRLBRRSIOT · pith_short_16: ORDRLBRRSIOTZMA6 · pith_short_8: ORDRLBRR

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/ORDRLBRRSIOTZMA6VOQIN55XCZ \
  | 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: 7447158631921d3cb01eaba086f7b7166bf48ea132f5404f9165ea502aff4f8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c68b6ff546bf2138a6f5b1ae7756af99013e6f19f01190d2240d4f7f74282d6c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-25T17:53:42Z",
    "title_canon_sha256": "1eb8ad8d3877bd9130b4e8e4e7a4f32ecf5fc78f4df9c5816558bd44506fba44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7349",
    "kind": "arxiv",
    "version": 4
  }
}