Pith Number

pith:A72GAU5M

pith:2010:A72GAU5MGNJ6SKAJVZAAFNKZAU

not attested not anchored not stored refs pending

Stopping of functionals with discontinuity at the boundary of an open set

Jan Palczewski, Lukasz Stettner

arxiv:1006.4283 v3 · 2010-06-22 · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A72GAU5MGNJ6SKAJVZAAFNKZAU}

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	2026-05-18T00:53:11.255177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07f46053ac3353e92809ae4002b55905272e74fae2896690dad60f47b39b5179

Aliases

arxiv: 1006.4283 · arxiv_version: 1006.4283v3 · doi: 10.48550/arxiv.1006.4283 · pith_short_12: A72GAU5MGNJ6 · pith_short_16: A72GAU5MGNJ6SKAJ · pith_short_8: A72GAU5M

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/A72GAU5MGNJ6SKAJVZAAFNKZAU \
  | 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: 07f46053ac3353e92809ae4002b55905272e74fae2896690dad60f47b39b5179

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e683abd275e657d010071e48bc1854625d9fd7320775ba101da954cb4de1464",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-06-22T13:16:40Z",
    "title_canon_sha256": "653b00371592bf8b41fb289decbae436e338fb62ea48bf8be54defbaa595ce75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4283",
    "kind": "arxiv",
    "version": 3
  }
}