Pith Number

pith:I3BRZH7S

pith:2011:I3BRZH7SCZBNQV2R7YLDEG7ISI

not attested not anchored not stored refs pending

On a conjecture for representations of integers as sums of squares and double shuffle relations

Koji Tasaka

arxiv:1112.5696 v2 · 2011-12-24 · 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{I3BRZH7SCZBNQV2R7YLDEG7ISI}

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	2026-05-18T04:04:29.605669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46c31c9ff21642d85751fe16321be8923c10710824f54bedf47ef63292ff17f5

Aliases

arxiv: 1112.5696 · arxiv_version: 1112.5696v2 · doi: 10.48550/arxiv.1112.5696 · pith_short_12: I3BRZH7SCZBN · pith_short_16: I3BRZH7SCZBNQV2R · pith_short_8: I3BRZH7S

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/I3BRZH7SCZBNQV2R7YLDEG7ISI \
  | 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: 46c31c9ff21642d85751fe16321be8923c10710824f54bedf47ef63292ff17f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28a5e48651b75cb6ae44801f035d2371ed6be053e240331b7ab08c0f661e63a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-24T03:56:00Z",
    "title_canon_sha256": "276ece8f7a68e7e4abcd2720ac9890761b8fde36143857175fb6b9dc8979f424"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5696",
    "kind": "arxiv",
    "version": 2
  }
}