Pith Number

pith:QW3XGSEX

pith:2015:QW3XGSEXNMK3FXUFAGAXUPTJMQ

not attested not anchored not stored refs pending

A short proof for the open quadrant problem

Carlos Ueno, Jose F. Fernando

arxiv:1502.07866 v1 · 2015-02-27 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QW3XGSEXNMK3FXUFAGAXUPTJMQ}

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	2026-05-18T02:26:01.973932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85b77348976b15b2de8501817a3e69643f50a443c7d6fdb07e9b6a3ad5a7cf66

Aliases

arxiv: 1502.07866 · arxiv_version: 1502.07866v1 · doi: 10.48550/arxiv.1502.07866 · pith_short_12: QW3XGSEXNMK3 · pith_short_16: QW3XGSEXNMK3FXUF · pith_short_8: QW3XGSEX

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/QW3XGSEXNMK3FXUFAGAXUPTJMQ \
  | 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: 85b77348976b15b2de8501817a3e69643f50a443c7d6fdb07e9b6a3ad5a7cf66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b839c5a0d640065ade0bf28eb51074964a7b559f52d716a7504bd6a1b9683fce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-02-27T11:29:42Z",
    "title_canon_sha256": "8113fa417afa8c1ea6bed4b7aae374eda755544ae411ccd601cbdc08e3523cb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07866",
    "kind": "arxiv",
    "version": 1
  }
}