Pith Number

pith:GKXIYQJG

pith:2016:GKXIYQJG7OVZHW7HTCV2YMMCI3

not attested not anchored not stored refs pending

A loop type component in the non-negative solutions set of an indefinite elliptic problem

Humberto Ramos Quoirin, Kenichiro Umezu

arxiv:1610.00964 v3 · 2016-10-04 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKXIYQJG7OVZHW7HTCV2YMMCI3}

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	2026-05-18T00:21:57.194074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ae8c4126fbab93dbe798abac318246c8bfb8b79bd172bcb67ff6ac079258e2

Aliases

arxiv: 1610.00964 · arxiv_version: 1610.00964v3 · doi: 10.48550/arxiv.1610.00964 · pith_short_12: GKXIYQJG7OVZ · pith_short_16: GKXIYQJG7OVZHW7H · pith_short_8: GKXIYQJG

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/GKXIYQJG7OVZHW7HTCV2YMMCI3 \
  | 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: 32ae8c4126fbab93dbe798abac318246c8bfb8b79bd172bcb67ff6ac079258e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16ffb06439705f6d6b3509c2a565641460b3c5849b3688b046f1824f5d9af672",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-04T13:01:03Z",
    "title_canon_sha256": "c9816f7c1d9ea15e1f25c2ca467de52a1b8aab6e79a032b01adc948ed2e45637"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00964",
    "kind": "arxiv",
    "version": 3
  }
}