Pith Number

pith:K7HF2DPI

pith:2010:K7HF2DPIXVGBQ77M3WGAIAGDIM

not attested not anchored not stored refs pending

Delta-Nabla Isoperimetric Problems

Agnieszka B. Malinowska, Delfim F. M. Torres

arxiv:1010.2956 v1 · 2010-10-14 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7HF2DPIXVGBQ77M3WGAIAGDIM}

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	2026-05-18T04:35:48.781088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57ce5d0de8bd4c187fecdd8c0400c34311bdab9ad88051f0b9ce06f9ad300a39

Aliases

arxiv: 1010.2956 · arxiv_version: 1010.2956v1 · doi: 10.48550/arxiv.1010.2956 · pith_short_12: K7HF2DPIXVGB · pith_short_16: K7HF2DPIXVGBQ77M · pith_short_8: K7HF2DPI

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/K7HF2DPIXVGBQ77M3WGAIAGDIM \
  | 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: 57ce5d0de8bd4c187fecdd8c0400c34311bdab9ad88051f0b9ce06f9ad300a39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a48fe2024d83bf0a6585da772e0bb45311928affd28fe517030debb9ff50d284",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-10-14T15:39:42Z",
    "title_canon_sha256": "0fefb608d3cbfb63058c79e8343a8e394cb85ecb0fd1e74d2f3b6e64c0845e83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2956",
    "kind": "arxiv",
    "version": 1
  }
}