Pith Number

pith:JZ2XUBZS

pith:2010:JZ2XUBZSFNRB3GBFLZKG5KOKSM

not attested not anchored not stored refs pending

Explicit Descriptions of Quadratic Maps on $\pp^1$ defined over a field $K$

Michelle Manes, Yu Yasufuku

arxiv:1004.2713 v3 · 2010-04-15 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZ2XUBZSFNRB3GBFLZKG5KOKSM}

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	2026-05-18T04:42:45.668067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e757a07322b621d98255e546ea9ca9314c80d0e9682625fd1f0c78992d7c350

Aliases

arxiv: 1004.2713 · arxiv_version: 1004.2713v3 · doi: 10.48550/arxiv.1004.2713 · pith_short_12: JZ2XUBZSFNRB · pith_short_16: JZ2XUBZSFNRB3GBF · pith_short_8: JZ2XUBZS

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/JZ2XUBZSFNRB3GBFLZKG5KOKSM \
  | 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: 4e757a07322b621d98255e546ea9ca9314c80d0e9682625fd1f0c78992d7c350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cb129df3782db7bf0c6d155158dc482586779c89412e9298d15a7983abe10c7",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-04-15T20:46:49Z",
    "title_canon_sha256": "07ce69d2cf0e20000205601f6c6a7d9fca98b3fc74e3d77724a657d6553dd777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2713",
    "kind": "arxiv",
    "version": 3
  }
}