Pith Number

pith:UJ45PO5N

pith:2011:UJ45PO5NDFEV2NIC4C3DFFC6RW

not attested not anchored not stored refs pending

Some results on zeros distributions and uniqueness of derivatives of difference polynomials

Kai Liu, Ting-Bin Cao, Xin-Ling Liu

arxiv:1107.0773 v1 · 2011-07-05 · 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{UJ45PO5NDFEV2NIC4C3DFFC6RW}

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	2026-05-18T04:18:52.718522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a279d7bbad19495d3502e0b632945e8d96819a8633e7e994434925d48589fea9

Aliases

arxiv: 1107.0773 · arxiv_version: 1107.0773v1 · doi: 10.48550/arxiv.1107.0773 · pith_short_12: UJ45PO5NDFEV · pith_short_16: UJ45PO5NDFEV2NIC · pith_short_8: UJ45PO5N

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/UJ45PO5NDFEV2NIC4C3DFFC6RW \
  | 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: a279d7bbad19495d3502e0b632945e8d96819a8633e7e994434925d48589fea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeac649b749aac95b4c99c0c48e36eceb07248b94114abacd812af974b25d749",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-07-05T03:19:36Z",
    "title_canon_sha256": "1eb99cec353a06d9d25b48bedaf88cdbbe1c0e37a7d43556b8ad22520696c05d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0773",
    "kind": "arxiv",
    "version": 1
  }
}