Pith Number

pith:4D7RRUGS

pith:2012:4D7RRUGSLE2NIHPULN5QSYJGWJ

not attested not anchored not stored refs pending

Signature pairs of positive polynomials

Jennifer Halfpap, Jiri Lebl

arxiv:1211.0997 v3 · 2012-11-05 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4D7RRUGSLE2NIHPULN5QSYJGWJ}

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	2026-05-18T03:05:35.789694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0ff18d0d25934d41df45b7b096126b25ae820b6e73a7ae9b11ec79a9a6be379

Aliases

arxiv: 1211.0997 · arxiv_version: 1211.0997v3 · doi: 10.48550/arxiv.1211.0997 · pith_short_12: 4D7RRUGSLE2N · pith_short_16: 4D7RRUGSLE2NIHPU · pith_short_8: 4D7RRUGS

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/4D7RRUGSLE2NIHPULN5QSYJGWJ \
  | 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: e0ff18d0d25934d41df45b7b096126b25ae820b6e73a7ae9b11ec79a9a6be379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9041a1cbb041dcb5383b8e16cff2c0e60477c62bedf8e237b5936985dd4e2fb2",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-05T20:46:25Z",
    "title_canon_sha256": "2e6d8109cd3e643b3ef068b5fea2b43c5dc7531192c320b6d86e1e95265671a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0997",
    "kind": "arxiv",
    "version": 3
  }
}