Pith Number

pith:CYXF6OKG

pith:2014:CYXF6OKGCKAILBHZB275EV36DV

not attested not anchored not stored refs pending

Binomial Difference Ideal and Toric Difference Variety

Chun-Ming Yuan, Xiao-Shan Gao, Zhang Huang

arxiv:1404.7580 v2 · 2014-04-30 · math.AG · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYXF6OKGCKAILBHZB275EV36DV}

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	2026-05-18T02:05:24.424302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

162e5f394612808584f90ebfd2577e1d6e88efb02f5e2041aaa17348786667cc

Aliases

arxiv: 1404.7580 · arxiv_version: 1404.7580v2 · doi: 10.48550/arxiv.1404.7580 · pith_short_12: CYXF6OKGCKAI · pith_short_16: CYXF6OKGCKAILBHZ · pith_short_8: CYXF6OKG

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/CYXF6OKGCKAILBHZB275EV36DV \
  | 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: 162e5f394612808584f90ebfd2577e1d6e88efb02f5e2041aaa17348786667cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c0118348748e07ed004f2d9df4ae74dfef17af30c6b6cdb718f78f58a623482",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-30T02:54:10Z",
    "title_canon_sha256": "1631324ed5c1a7bb645c5fd15b9c172cad44f1d11d072df1dd5b19ae11acb529"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7580",
    "kind": "arxiv",
    "version": 2
  }
}