Pith Number

pith:7O4MZ2V2

pith:2011:7O4MZ2V2IM7AICTMCFCHJNYYFU

not attested not anchored not stored refs pending

Subdivision schemes of sets and the approximation of set-valued functions in the symmetric difference metric

Nira Dyn, Shay Kels

arxiv:1111.6844 v4 · 2011-11-28 · math.NA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7O4MZ2V2IM7AICTMCFCHJNYYFU}

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	2026-05-18T02:21:28.249674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbb8cceaba433e040a6c114474b7182d304e7e5cfb86a6553b281ab3c0459030

Aliases

arxiv: 1111.6844 · arxiv_version: 1111.6844v4 · doi: 10.48550/arxiv.1111.6844 · pith_short_12: 7O4MZ2V2IM7A · pith_short_16: 7O4MZ2V2IM7AICTM · pith_short_8: 7O4MZ2V2

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/7O4MZ2V2IM7AICTMCFCHJNYYFU \
  | 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: fbb8cceaba433e040a6c114474b7182d304e7e5cfb86a6553b281ab3c0459030

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c91db929be3328a2095b9f776c70f0ae7ce95b0c88d6b1d6d12734b1c908d89a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-11-28T08:04:37Z",
    "title_canon_sha256": "156f721317f2b878983f06c9ac6e398ea69241b092602e439ef2a94669fdf743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6844",
    "kind": "arxiv",
    "version": 4
  }
}