Pith Number

pith:HETCI5QH

pith:2011:HETCI5QHD7MKH5C7SJCTHJ4R6S

not attested not anchored not stored refs pending

Spaces of polynomial functions of bounded degrees on an embedded manifold and their duals

Shuzo Izumi

arxiv:1102.2813 v8 · 2011-02-14 · math.CV · 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{HETCI5QHD7MKH5C7SJCTHJ4R6S}

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	2026-05-18T02:27:29.744032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39262476071fd8a3f45f924533a791f48580a310c8ca96b255a30ac69be35f13

Aliases

arxiv: 1102.2813 · arxiv_version: 1102.2813v8 · doi: 10.48550/arxiv.1102.2813 · pith_short_12: HETCI5QHD7MK · pith_short_16: HETCI5QHD7MKH5C7 · pith_short_8: HETCI5QH

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/HETCI5QHD7MKH5C7SJCTHJ4R6S \
  | 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: 39262476071fd8a3f45f924533a791f48580a310c8ca96b255a30ac69be35f13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f3179a0459108b2aaaaf9cb46039b0b8f53a3d9e57db035e5fd4c164474bca9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-02-14T16:12:05Z",
    "title_canon_sha256": "7d123b03e7690afc71ffdacf230ae49c2f52fc0260716afcab4cf27ef2155fe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2813",
    "kind": "arxiv",
    "version": 8
  }
}