Pith Number

pith:R5XPNMDA

pith:2017:R5XPNMDABGERDJXY6DNHSZGNUH

not attested not anchored not stored refs pending

On surjectivity of smooth maps into Euclidean spaces and the fundamental theorem of algebra

Peng Liu, Shibo Liu

arxiv:1706.07281 v1 · 2017-06-16 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5XPNMDABGERDJXY6DNHSZGNUH}

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	2026-05-18T00:41:52.110257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f6ef6b060098911a6f8f0da7964cda1fa2d1b74f0e944130aac8baf115058eb

Aliases

arxiv: 1706.07281 · arxiv_version: 1706.07281v1 · doi: 10.48550/arxiv.1706.07281 · pith_short_12: R5XPNMDABGER · pith_short_16: R5XPNMDABGERDJXY · pith_short_8: R5XPNMDA

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/R5XPNMDABGERDJXY6DNHSZGNUH \
  | 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: 8f6ef6b060098911a6f8f0da7964cda1fa2d1b74f0e944130aac8baf115058eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58cb28b615b668edbcbc83f9460f6533e1a1d37cf4af4730543037a83139b54c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-06-16T02:31:37Z",
    "title_canon_sha256": "4c10d8fef9b88668366679f5d9783abec19c3fa9f8d586ad07ed156c03dd85ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07281",
    "kind": "arxiv",
    "version": 1
  }
}