Pith Number

pith:TRWZIOG7

pith:2019:TRWZIOG7YYYCRNAWKINJIUKSM3

not attested not anchored not stored refs pending

A Constructive Proof of Jacobi's Identity for the Sum of Two Squares

Mario DeFranco

arxiv:1907.06350 v1 · 2019-07-15 · 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{TRWZIOG7YYYCRNAWKINJIUKSM3}

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	2026-05-17T23:40:37.850605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c6d9438dfc63028b416521a94515266da473cc396891d7f26e24ae16e8ce97f

Aliases

arxiv: 1907.06350 · arxiv_version: 1907.06350v1 · doi: 10.48550/arxiv.1907.06350 · pith_short_12: TRWZIOG7YYYC · pith_short_16: TRWZIOG7YYYCRNAW · pith_short_8: TRWZIOG7

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/TRWZIOG7YYYCRNAWKINJIUKSM3 \
  | 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: 9c6d9438dfc63028b416521a94515266da473cc396891d7f26e24ae16e8ce97f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05910963513895097db70019da3f83c5a07042c54a03b7a54bed61a1322945ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-15T07:10:41Z",
    "title_canon_sha256": "3e35c6b7b63f78b57e8f567fa68023da22f43069c4ed04b59b0a633cd86b7c2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06350",
    "kind": "arxiv",
    "version": 1
  }
}