Pith Number

pith:X7DGOS7Z

pith:2012:X7DGOS7ZYCT6VY6HSA565XW2KC

not attested not anchored not stored refs pending

Weak and strong regularity, compactness, and approximation of polynomials

Alexander Schrijver

arxiv:1211.3571 v1 · 2012-11-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7DGOS7ZYCT6VY6HSA565XW2KC}

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	2026-05-18T03:40:39.381198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfc6674bf9c0a7eae3c7903beededa50a655a59819588338bc5f2c8b521541ba

Aliases

arxiv: 1211.3571 · arxiv_version: 1211.3571v1 · doi: 10.48550/arxiv.1211.3571 · pith_short_12: X7DGOS7ZYCT6 · pith_short_16: X7DGOS7ZYCT6VY6H · pith_short_8: X7DGOS7Z

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/X7DGOS7ZYCT6VY6HSA565XW2KC \
  | 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: bfc6674bf9c0a7eae3c7903beededa50a655a59819588338bc5f2c8b521541ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b996fb4c7d045607aaa02f9380942cd3858a82084426e7a20ca01a144a72da1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-15T10:51:10Z",
    "title_canon_sha256": "a19d2d9b8ef8e119cd999b7d29b5a05661837f330a3423a4b4889d906c5f5247"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3571",
    "kind": "arxiv",
    "version": 1
  }
}