Pith Number

pith:G6BDDIV4

pith:2011:G6BDDIV45THP4KPZ527WPXMMPV

not attested not anchored not stored refs pending

Solution-free sets for sums of binary forms

Sean Prendiville

arxiv:1110.1999 v1 · 2011-10-10 · 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{G6BDDIV45THP4KPZ527WPXMMPV}

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	2026-05-18T02:58:00.354292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

378231a2bceccefe29f9eebf67dd8c7d4e16b561c264d69107f82ee4e224cd1c

Aliases

arxiv: 1110.1999 · arxiv_version: 1110.1999v1 · doi: 10.48550/arxiv.1110.1999 · pith_short_12: G6BDDIV45THP · pith_short_16: G6BDDIV45THP4KPZ · pith_short_8: G6BDDIV4

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/G6BDDIV45THP4KPZ527WPXMMPV \
  | 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: 378231a2bceccefe29f9eebf67dd8c7d4e16b561c264d69107f82ee4e224cd1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "243f71eb7047b7e2fea7d16a7bf1f4a18dbb2a505429ca7851dfbc58a4595a01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-10-10T10:50:38Z",
    "title_canon_sha256": "4ff60210823eb28dc6749bfb73c6f51ca6309bf9754fb06311851f02da381fc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1999",
    "kind": "arxiv",
    "version": 1
  }
}