Pith Number

pith:I6BCVQMW

pith:2014:I6BCVQMWAPHMQRD75PNFQND3IB

not attested not anchored not stored refs pending

The Minimum Size of Signed Sumsets

Bela Bajnok, Ryan Matzke

arxiv:1412.1608 v1 · 2014-12-04 · 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{I6BCVQMWAPHMQRD75PNFQND3IB}

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	2026-05-18T02:32:06.869762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47822ac19603cec8447febda58347b40743d5339335cb3c36e233ba76fec7c0e

Aliases

arxiv: 1412.1608 · arxiv_version: 1412.1608v1 · doi: 10.48550/arxiv.1412.1608 · pith_short_12: I6BCVQMWAPHM · pith_short_16: I6BCVQMWAPHMQRD7 · pith_short_8: I6BCVQMW

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/I6BCVQMWAPHMQRD75PNFQND3IB \
  | 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: 47822ac19603cec8447febda58347b40743d5339335cb3c36e233ba76fec7c0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "645a8282c27ae1bc2f4b7f6570152c325ab3d93ef597c5d8aa4989b1e3cb9851",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-04T10:21:12Z",
    "title_canon_sha256": "665de0a4c53a1a1e6eb6d90aebdbdaca2e6dfca1b6a95c9e78cb43358cb4bd46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1608",
    "kind": "arxiv",
    "version": 1
  }
}